Question

Solve it plzzzz

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Answer 1

Answer:

multiple with √7+2/√7+2............

Answer 2

$\huge{\orange{\underline{\pink{\mathscr{Question}}}}}$

$\hookrightarrow\: Rationalise\:\bf\frac{1}{\sqrt{7}\:-\:2}$

$\huge{\orange{\underline{\blue{\mathscr{Answer}}}}}$

Rationalising the denominator ,

When we have to rationalise any number firstly we must change the sign of the denominator and then multiply it by the numerator and denominator . Here the $\sqrt{7}\:-\:2\:$ would change to $\sqrt{7}\:+\:2\:$

$\hookrightarrow\:\bf\frac{1}{\sqrt{7}\:-\:2}\:\times\:\frac{\sqrt{7}\:+\:2}{\sqrt{7}\:+\:2}$

$\hookrightarrow\:\bf\frac{1(\sqrt{7}\:+\:2)}{(\sqrt{7}\:-\:2)(\sqrt{7}\:+\:2)}$

Now according to the algebraic identity ,

$\longmapsto\bf\:(a+b)(a-b)\:=\:a^2\:-\:b^2$

$\hookrightarrow\:\sf\frac{\sqrt{7}\:+\:2}{\sqrt{7^2}\:-\:2^2}$

We know that the square root and square of 7 would get cancelled . Since, we get

$\hookrightarrow\:\bf\frac{\sqrt{7}\:+\:2}{7\:-\:4}$

$\hookrightarrow\:\bf\frac{\sqrt{7}\:+\:2}{3}$

Therefore the solution of this question is

$\huge\star\:\:{\orange{\underline{\red{\mathbf{\frac{\sqrt{7}\:+\:2}{3}}}}}}$

Hope that helps you mate :)