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What is the square root of ab^2

Sagot :

TSO
[tex] \sqrt{ab^2} = b\sqrt{a}[/tex]
SociometricStar

Answer:

[tex]b\sqrt a[/tex]

Step-by-step explanation:

We have to simplify the expression [tex]\sqrt{ab^2}[/tex]

We can use the rules:

[tex]\sqrt{xy}=\sqrt x\cdot\sqrt y...(i)\\\\\sqrt{x^2}=x...(ii)[/tex]

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

[tex]\sqrt{ab^2}\\\\=\sqrt a\cdot\sqrt{b^2}[/tex]

Now, using the rule (ii), we have

[tex]\sqrt a\cdot\sqrt{b^2}\\\\=\sqrt a\cdot b\\\\b\sqrt a[/tex]

The simplified form is [tex]b\sqrt a[/tex]

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