Rule: √(x)×√(y) =√(xy) OR √(xy) =√(x)×√(y) Let xy=128 ⇒√(128) =√(64)×√(2) ⇒√(128) =8 nbsp;×√(2) ...

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Relation between Square and Square Root

Simplify √128...

Question

Simplify $\sqrt{128}$ .

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Solution

Rule:

$\sqrt{x} \times \sqrt{y} = \sqrt{x y}$

OR

$\sqrt{x y} = \sqrt{x} \times \sqrt{y}$

Let $x y = 128$

$\Rightarrow \sqrt{128} = \sqrt{64} \times \sqrt{2}$

$\Rightarrow \sqrt{128} = 8 \times \sqrt{2}$

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Similar questions

Simplify $\sqrt{128}$ .

\sqrt{18} \times \sqrt{27} \times \sqrt{128}

{log}_{8} 128 - {log}_{8} 16

\sqrt{128} \div \sqrt{18}

\sqrt{18} + 5 \sqrt{2} - \sqrt{128}

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