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Maths-

General

Easy

Question

Simplify √50 - √98 + √162

hint Hint:

Use prime factorization.

The correct answer is: 7√2

Complete step by step solution:
On prime factorization, we can write
$square root of 50 equals square root of 5 cross times 5 cross times 2 end root comma square root of 98 equals square root of 7 cross times 7 cross times 2 end root$ and $square root of 162 equals square root of 3 cross times 3 cross times 3 cross times 3 cross times 2 end root$
This can be written as $5 square root of 2$ , 7 $square root of 2$ and 9 $square root of 2$ respectively.
So, $square root of 50 minus square root of 98 plus square root of 162 equals 5 square root of 2 minus 7 square root of 2 plus 9 square root of 2 equals 7 square root of 2$

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