Question

$\sqrt[2]{12} \times \sqrt{3 }$

Answer 1

√12 = 2√3

√12×√3 = 2√3×√3 = 2×3 = 6

Answer 2

ANSWER::

$\sqrt[2]{12} \times \sqrt{3 }$

ACCORDING TO PRIME FACTORISATION:-
12= 2×2×3×1
3= 1×3

So,
$\sqrt[2]{12} \times \sqrt{3 }$

=$\sqrt[2]{1×1×2×2×3×3}$

In finding square root , always we have to take pair of numbers as single number which will be the square root of number.

So,

$\sqrt[2]{1×1×2×2×3×3}$

= 1×2×3

= 6 (<-------ANSWER)


OR


$\sqrt[2]{1×1×2×2×3×3}$

= $\sqrt[2]{36}$

= 6 (<------------ANSWER)
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