Mathematics: What is the square root of ab^2

Work shown above! Answer is x = 9 and x = -1...

What is the square root of ab^2 - id27464421, sophiaa23

CeddHendrix

01.02.2022

$b\sqrt a$

Step-by-step explanation:

We have to simplify the expression $\sqrt{ab^2}$

We can use the rules:

$\sqrt{xy}=\sqrt x\cdot\sqrt y...(i)\\\\\sqrt{x^2}=x...(ii)$

Using the rule (i), we can rewrite the expression as

$\sqrt{ab^2}\\\\=\sqrt a\cdot\sqrt{b^2}$

Now, using the rule (ii), we have

$\sqrt a\cdot\sqrt{b^2}\\\\=\sqrt a\cdot b\\\\b\sqrt a$

The simplified form is $b\sqrt a$

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