Question

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Answer 1

Step-by-step explanation:

if we simplify√p2q2

so the answer is

-1

Answer 2

Solution:

First consider the term inside the square root and simplify it as much as possible.

In this question,

p²q² can also be written as (pq)²

Now we know that this number is in square root.

$\sf{\sqrt{ {p}^{2} {q}^{2} } }$

$= \sf{\sqrt{(pq)^{2} } }$

Now, here we use a property.

$\bf{A \: number \: in \: square \: root = x ^ { \frac{1}{2} } }$

So, the expression becomes:

$\hookrightarrow \: \sf{pq^{2 \times \frac{1}{2} } }$

$\implies \sf{pq^{ \cancel{2} \times \frac{1}{ \cancel{2}} } }$

$\implies \: \sf{pq^{1} }$

$\therefore \boxed{ \bf{ \sqrt{p^{2}q ^{2} } = pq }}$