Question

Which expressions are equivalent to the given expression? √252

Answer 1

The answer is 6√7

GIVEN

Number- √252

TO FIND

Expression equivalent to √252

SOLUTION

We can simply solve the above problem as follows;

Prime factorisation of 252

= 2 × 2 × 3 × 3 × 7

Therefore,

$\sqrt{252} = \sqrt{ {2}^{2} \times {3}^{2} \times 7}$

We know that,

√2² = 2 and,

√3² = 3

Therefore,

$= 2 \times 3 \sqrt{7}$

= 6√7

Hence, The answer is 6√7

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