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Maths-

General

Easy

Question

Simplify √12 - √48 +√1323

hint Hint:

Use prime factorization.

The correct answer is: 19√3

Complete step by step solution:
On prime factorization, we can write
$square root of 12 equals square root of 2 cross times 2 cross times 3 end root comma square root of 48 equals square root of 2 cross times 2 cross times 2 cross times 2 cross times 3 end root$
and $square root of 1323 equals square root of 7 cross times 7 cross times 3 cross times 3 cross times 3 end root$
This can be written as $2 square root of 3 comma 4 square root of 3$ and $21 square root of 3$ respectively.
So, $square root of 12 minus square root of 48 plus square root of 1323 equals 2 square root of 3 minus 4 square root of 3 plus 21 square root of 3 equals 19 square root of 3$

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