If sqrt{2} = 1.4142,then evaluate sqrt{5} div | vedclass

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Question

(A) Given expression is $\frac{\sqrt{5}}{\sqrt{10}}$.We can simplify this as $\sqrt{\frac{5}{10}} = \sqrt{\frac{1}{2}}$.This is equal to $\frac{1}{\sq

Vedclass · Accepted Answer

$0.7071$

Vedclass · Answer

(A) Given expression is $\frac{\sqrt{5}}{\sqrt{10}}$.We can simplify this as $\sqrt{\frac{5}{10}} = \sqrt{\frac{1}{2}}$.This is equal to $\frac{1}{\sqrt{2}}$.Rationalizing the denominator,we get $\frac{1}{\sqrt{2}} 	imes \frac{\sqrt{2}}{\sqrt{2}} = \frac{\sqrt{2}}{2}$.Substituting the value of $\sqrt{2} = 1.4142$,we get $\frac{1.4142}{2} = 0.7071$.

If $\sqrt{2} = 1.4142$,then evaluate $\sqrt{5} \div \sqrt{10}$ correct to four decimal places.

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