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Maths-

General

Easy

Question

Simplify √8 - √18 + √50

hint Hint:

Use prime factorization.

The correct answer is: 4√2

Complete step by step solution:
On prime factorization, we can write
$square root of 8 equals square root of 2 cross times 2 cross times 2 end root comma square root of 18 equals square root of 3 cross times 3 cross times 2 end root$ and $square root of 50 equals square root of 5 cross times 5 cross times 2 end root$
This can be written as $2 square root of 2 comma 3 square root of 2$ and $25 square root of 2$ respectively.
So, $square root of 8 minus square root of 18 plus square root of 50 equals 2 square root of 2 minus 3 square root of 2 plus 5 square root of 2 equals 4 square root of 2$

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