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Easy

Question

Simplify $square root of 45 minus 3 square root of 20 plus 4 square root of 5$

The correct answer is: Use prime factorization

Complete step by step solution:
On prime factorization, we can write
$square root of 45 equals square root of 3 cross times 3 cross times 5 end root comma 3 square root of 20 equals 3 cross times square root of 2 cross times 2 cross times 5 end root$ and $4 square root of 5 equals 4 square root of 5$
This can be written as $3 square root of 5$ , $6 square root of 5$ and $4 square root of 5$ respectively.
So, $square root of 45 minus 3 square root of 20 plus 4 square root of 5 equals 3 square root of 5 minus 6 square root of 5 plus 4 square root of 5 equals 1 square root of 5 equals square root of 5$

Simplify by combining similar terms:
$2 cube root of 4 plus 7 cube root of 32 minus cube root of 500$

Maths-General

General

Maths-

Arrange in ascending order of magnitude :
$square root of 5 comma space cube root of 11 comma 2 times root index 6 of 3$

Maths-General

General

Maths-

Which is greater ?
$root index 6 of 3 comma space fourth root of 5 comma space square root of 2$

Maths-General

General

Maths-

Arrange the following from least to greatest :
0.1666666666...... , 1.66666666666.......... , 1.388888888888...............

Maths-General

General

Maths-

Simplify $4 over 7 plus fraction numerator negative 8 over denominator 9 end fraction plus fraction numerator negative 5 over denominator 21 end fraction plus 1 third$

Maths-General

General

Maths-

The sum of two rational numbers is -8. If one of them is - $13 over 6$ , find the other ?

Maths-General

General
Maths-
Arrange from greatest to least ?
$fraction numerator negative 10 over denominator 11 end fraction comma fraction numerator 19 over denominator negative 22 end fraction comma fraction numerator negative 23 over denominator 33 end fraction comma fraction numerator negative 39 over denominator 44 end fraction$
Arrange from greatest to least ?
$fraction numerator negative 10 over denominator 11 end fraction comma fraction numerator 19 over denominator negative 22 end fraction comma fraction numerator negative 23 over denominator 33 end fraction comma fraction numerator negative 39 over denominator 44 end fraction$
Maths-General
General
Maths-
Arrange from least to greatest : $fraction numerator 3 over denominator negative 5 end fraction comma fraction numerator negative 7 over denominator 10 end fraction comma fraction numerator negative 11 over denominator 15 end fraction comma fraction numerator negative 13 over denominator 20 end fraction$
Arrange from least to greatest : $fraction numerator 3 over denominator negative 5 end fraction comma fraction numerator negative 7 over denominator 10 end fraction comma fraction numerator negative 11 over denominator 15 end fraction comma fraction numerator negative 13 over denominator 20 end fraction$
Maths-General
General
Maths-
An orange crate is in the shape of a rectangular prism . It has a volume of $3 x cubed plus 7 x squared plus 2 x$ cubic units and has a base area of $x squared plus 2 x$ square units. Find the height of the orange crate ?.
An orange crate is in the shape of a rectangular prism . It has a volume of $3 x cubed plus 7 x squared plus 2 x$ cubic units and has a base area of $x squared plus 2 x$ square units. Find the height of the orange crate ?.
Maths-General
General
Maths-
Arrange the following rational numbers in descending order: $fraction numerator negative 4 over denominator 9 end fraction comma fraction numerator negative 5 over denominator 12 end fraction comma fraction numerator negative 7 over denominator 18 end fraction comma fraction numerator negative 2 over denominator 3 end fraction$
Arrange the following rational numbers in descending order: $fraction numerator negative 4 over denominator 9 end fraction comma fraction numerator negative 5 over denominator 12 end fraction comma fraction numerator negative 7 over denominator 18 end fraction comma fraction numerator negative 2 over denominator 3 end fraction$
Maths-General
General
Maths-
Arrange from least to greatest : $fraction numerator negative 3 over denominator 5 end fraction comma space fraction numerator negative 7 over denominator 10 end fraction comma space fraction numerator negative 5 over denominator 8 end fraction$
Arrange from least to greatest : $fraction numerator negative 3 over denominator 5 end fraction comma space fraction numerator negative 7 over denominator 10 end fraction comma space fraction numerator negative 5 over denominator 8 end fraction$
Maths-General
General
Maths-
The product of two rational numbers is $13 over 5$ . If one of the number is $fraction numerator negative 3 over denominator 4 end fraction$ , find the other rational number ?
The product of two rational numbers is $13 over 5$ . If one of the number is $fraction numerator negative 3 over denominator 4 end fraction$ , find the other rational number ?
Maths-General
General
Maths-
Find the Quotient and the domain .
$fraction numerator straight x to the power of 4 plus straight x cubed minus 30 straight x squared over denominator straight x squared minus 3 straight x minus 18 end fraction divided by fraction numerator straight x cubed plus straight x squared minus 30 straight x over denominator straight x squared minus 36 end fraction$
Find the Quotient and the domain .
$fraction numerator straight x to the power of 4 plus straight x cubed minus 30 straight x squared over denominator straight x squared minus 3 straight x minus 18 end fraction divided by fraction numerator straight x cubed plus straight x squared minus 30 straight x over denominator straight x squared minus 36 end fraction$
Maths-General
General
Maths-
What is the Quotient of $fraction numerator x squared plus x minus 2 over denominator x plus 3 end fraction straight & fraction numerator x squared plus 3 x minus 4 over denominator 2 x plus 6 end fraction$ .
What is the Quotient of $fraction numerator x squared plus x minus 2 over denominator x plus 3 end fraction straight & fraction numerator x squared plus 3 x minus 4 over denominator 2 x plus 6 end fraction$ .
Maths-General
General
Maths-
The cost of 4.25 m of cloth is 38.25. Find the cost of cloth per meter ?
The cost of 4.25 m of cloth is 38.25. Find the cost of cloth per meter ?
Maths-General

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

Simplify

The correct answer is: Use prime factorization

Complete step by step solution:On prime factorization, we can write and This can be written as , and respectively.So,

Related Questions to study

Simplify by combining similar terms:

Simplify by combining similar terms:

Arrange in ascending order of magnitude :

Arrange in ascending order of magnitude :

Which is greater ?

Which is greater ?

Arrange the following from least to greatest : 0.1666666666...... , 1.66666666666.......... , 1.388888888888...............

Arrange the following from least to greatest : 0.1666666666...... , 1.66666666666.......... , 1.388888888888...............

Simplify

Simplify

The sum of two rational numbers is -8. If one of them is -, find the other ?

The sum of two rational numbers is -8. If one of them is -, find the other ?

Arrange from greatest to least ?

Arrange from greatest to least ?

Arrange from least to greatest :

Arrange from least to greatest :

An orange crate is in the shape of a rectangular prism . It has a volume of cubic units and has a base area of square units. Find the height of the orange crate ?.

An orange crate is in the shape of a rectangular prism . It has a volume of cubic units and has a base area of square units. Find the height of the orange crate ?.

Arrange the following rational numbers in descending order:

Arrange the following rational numbers in descending order:

Arrange from least to greatest :

Arrange from least to greatest :

The product of two rational numbers is . If one of the number is , find the other rational number ?

The product of two rational numbers is . If one of the number is , find the other rational number ?

Find the Quotient and the domain .

Find the Quotient and the domain .

What is the Quotient of .

What is the Quotient of .

The cost of 4.25 m of cloth is 38.25. Find the cost of cloth per meter ?

The cost of 4.25 m of cloth is 38.25. Find the cost of cloth per meter ?

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Simplify $square root of 45 minus 3 square root of 20 plus 4 square root of 5$

Simplify by combining similar terms:
$2 cube root of 4 plus 7 cube root of 32 minus cube root of 500$

Simplify by combining similar terms:
$2 cube root of 4 plus 7 cube root of 32 minus cube root of 500$

Arrange in ascending order of magnitude :
$square root of 5 comma space cube root of 11 comma 2 times root index 6 of 3$

Arrange in ascending order of magnitude :
$square root of 5 comma space cube root of 11 comma 2 times root index 6 of 3$

Which is greater ?
$root index 6 of 3 comma space fourth root of 5 comma space square root of 2$

Which is greater ?
$root index 6 of 3 comma space fourth root of 5 comma space square root of 2$

Arrange the following from least to greatest :
0.1666666666...... , 1.66666666666.......... , 1.388888888888...............

Arrange the following from least to greatest :
0.1666666666...... , 1.66666666666.......... , 1.388888888888...............

Simplify $4 over 7 plus fraction numerator negative 8 over denominator 9 end fraction plus fraction numerator negative 5 over denominator 21 end fraction plus 1 third$

Simplify $4 over 7 plus fraction numerator negative 8 over denominator 9 end fraction plus fraction numerator negative 5 over denominator 21 end fraction plus 1 third$

The sum of two rational numbers is -8. If one of them is - $13 over 6$ , find the other ?

The sum of two rational numbers is -8. If one of them is - $13 over 6$ , find the other ?

An orange crate is in the shape of a rectangular prism . It has a volume of $3 x cubed plus 7 x squared plus 2 x$ cubic units and has a base area of $x squared plus 2 x$ square units. Find the height of the orange crate ?.

An orange crate is in the shape of a rectangular prism . It has a volume of $3 x cubed plus 7 x squared plus 2 x$ cubic units and has a base area of $x squared plus 2 x$ square units. Find the height of the orange crate ?.

Arrange from least to greatest : $fraction numerator negative 3 over denominator 5 end fraction comma space fraction numerator negative 7 over denominator 10 end fraction comma space fraction numerator negative 5 over denominator 8 end fraction$

Arrange from least to greatest : $fraction numerator negative 3 over denominator 5 end fraction comma space fraction numerator negative 7 over denominator 10 end fraction comma space fraction numerator negative 5 over denominator 8 end fraction$

The product of two rational numbers is $13 over 5$ . If one of the number is $fraction numerator negative 3 over denominator 4 end fraction$ , find the other rational number ?

The product of two rational numbers is $13 over 5$ . If one of the number is $fraction numerator negative 3 over denominator 4 end fraction$ , find the other rational number ?

What is the Quotient of $fraction numerator x squared plus x minus 2 over denominator x plus 3 end fraction straight & fraction numerator x squared plus 3 x minus 4 over denominator 2 x plus 6 end fraction$ .

What is the Quotient of $fraction numerator x squared plus x minus 2 over denominator x plus 3 end fraction straight & fraction numerator x squared plus 3 x minus 4 over denominator 2 x plus 6 end fraction$ .