Rationalise the denominator in each of the fo | vedclass

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(D) Given expression: $\frac{\sqrt{10}-\sqrt{5}}{2}$Step $1$: Simplify the numerator by factoring out $\sqrt{5}$:$\frac{\sqrt{5} 	imes \sqrt{2} - \sq

Vedclass · Accepted Answer

$0.463$

Vedclass · Answer

(D) Given expression: $\frac{\sqrt{10}-\sqrt{5}}{2}$Step $1$: Simplify the numerator by factoring out $\sqrt{5}$:$\frac{\sqrt{5} 	imes \sqrt{2} - \sqrt{5}}{2} = \frac{\sqrt{5}(\sqrt{2}-1)}{2}$Step $2$: Substitute the given values $\sqrt{5} = 2.236$ and $\sqrt{2} = 1.414$:$= \frac{2.236(1.414 - 1)}{2}$Step $3$: Perform the subtraction inside the parenthesis:$= \frac{2.236(0.414)}{2}$Step $4$: Divide $2.236$ by $2$:$= 1.118 	imes 0.414$Step $5$: Multiply the values:$= 0.462852$Rounding to three decimal places,we get $0.463$.

Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2}=1.414, \sqrt{3}=1.732$ and $\sqrt{5}=2.236,$ up to three decimal places.
$\frac{\sqrt{10}-\sqrt{5}}{2}$

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Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2}=1.414, \sqrt{3}=1.732$ and $\sqrt{5}=2.236,$ up to three decimal places.$\frac{\sqrt{10}-\sqrt{5}}{2}$