Which of the following statement is true? - Vidyadip

MCQ

Which of the following statement is true?

A
$\sqrt{\text{a}+\text{b}}=\sqrt{\text{a}}+\sqrt{\text{b}}$
B
$\sqrt{\text{a}-\text{b}}=\sqrt{\text{a}}-\sqrt{\text{b}}$
C
$\sqrt[3]{\text{ab}}=\sqrt{\text{a}}\times\sqrt{\text{b}}$
✓
$\sqrt{\text{ab}}=\sqrt{\text{a}}\times\sqrt{\text{b}}$

✓

Answer

Correct option: D.

$\sqrt{\text{ab}}=\sqrt{\text{a}}\times\sqrt{\text{b}}$

When we multiply two different root number then only number is multiplied not the root because we have both number power equal,
$\sqrt{\text{a}}\times\sqrt{\text{b}}=\sqrt{\text{ab}}$
or, $\text{a}\frac{1}{2}\times\text{b}\frac{1}{2}=(\text{ab})\frac{1}{2}$

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