Question

rationalise the denominator 2/7√-2​

Answer 1

Step-by-step explanation:

change the sign of the denominator , i.e √7 - √2 will become √7 + 2 , so multiply this term both with numerator and denominator. Multiply the terms , and we know that (a+b)(a-b) = a² - b² , use this identity for denominator!

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Answer 2

★GIVEN:-

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

★find:-

• given quantity value by rationlise the denominator

★solution:-

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

multiple numerator and denominator =7+√2

$\implies \: \frac{2(7 + \sqrt{2} )}{(7 - \sqrt{2}) (7 + \sqrt{2} )}$

we know that formula of

$\implies \: \pink{(a - b)(a + b) = a {}^{2} - b {}^{2}}$

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

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