Question

rationalise the denominator 2/7√-2
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Answer 1

★GIVEN:-

$\implies \: \frac{2}{7 - \sqrt{2} }$

★find:-

• given quantity value

★solution:-

$\implies \: \frac{2}{7 - \sqrt{2} }$

multiple numerator and denominator 7+√2

$\implies \: \frac{2(7 + \sqrt{2}) }{(7 - \sqrt{2}) (7 + \sqrt{2} )} \\ \\ \implies \: \frac{14 +2 \sqrt{2} }{7 {}^{2} - (\sqrt{2}) {}^{2} } \\ \\ \implies \: \frac{14 + 2 \sqrt{2} }{49 - 2} \\ \\ \implies \: \frac{14 + 2 \sqrt{2} }{47}$

used properties

• (a+b) (a-b)=a^2-b^2

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I hope it helps you