Question

rationlised these 1/5√2

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Answer 1

$\star\:\:\:\sf\large\underline\blue{Answer:-}$

Given to rationalise,

$\sf\frac{1}{5 \sqrt{2} }$

$\sf = \frac{1}{5 \sqrt{2} } \times \frac{5 \sqrt{2} }{5 \sqrt{2} }$

$\sf = \frac{5 \sqrt{2} }{50}$

$\sf = \frac{ \sqrt{2} }{10}$

Hence the required answer is √2/10.

Answer 2

$\huge{ \fbox{\fbox{ \red{{{answer \ \: : }}}}}}$

$\</strong><strong>boxed</strong><strong>{</strong><strong> \frac{-5\sqrt{2}}{50} </strong><strong>}</strong><strong>$

Explanation

$\bf \frac{1}{5 \sqrt{2} }$

$\bf \purple \bigstar \: rationalising \: factor \: is \: ( - 5 \sqrt{2} ) \: .$

$\bf \frac{1}{5 \sqrt{2} } \times \frac{1}{ - 5 \sqrt{2} }$

$\bf \bf \frac{ - 5 \sqrt{2} }{ { - 5}^{2} { \sqrt{2} }^{2} }$

$\bf \frac{-5\sqrt{2}}{25 \times 2}$

$\bf \frac{-5\sqrt{2}}{50}$

$\huge{ \sf \underline{identity \: used}}$

$\bf \purple \bigstar{ {x}^{2} - {y}^{2} = (x + y)(x - y) }$