Question

Rarotionalize 1/(6+3√2)​

Answer 1

ㅤ$\;\;\underline{\textbf{\textsf{ Given :-}}}$

• $\sf \dfrac{1}{6 + 3\sqrt{2}}$

ㅤ$\;\;\underline{\textbf{\textsf{ To Rationalize:-}}}$

• $\sf \dfrac{1}{6 + 3\sqrt{2}}$

ㅤ$\;\;\underline{\textbf{\textsf{ Solution :-}}}$

We have,

$\leadsto \sf \dfrac{1}{6 + 3\sqrt{2}}$

$\leadsto \sf \dfrac{1}{6 + 3\sqrt{2}} \times \dfrac{6 - 3\sqrt{2}}{6 - 3\sqrt{2}}$

$\leadsto \sf \dfrac{6 - 3\sqrt{2}}{(6 + 3\sqrt{2})(6 - 3\sqrt{2})}$

$\leadsto \sf \dfrac{6 - 3\sqrt{2}}{6^{2} - (3\sqrt{2})^2}$

$\leadsto \sf \dfrac{6 - 3\sqrt{2}}{36 - (9 \times 2)}$

$\leadsto \sf \dfrac{6 - 3\sqrt{2}}{36 - 18}$

$\leadsto \sf \dfrac{6 - 3\sqrt{2}}{ 18}$

$\leadsto \sf \dfrac{3(2 - \sqrt{2})}{ 18}$

$\leadsto \sf \dfrac{2 - \sqrt{2}}{6}$

ㅤ$\;\;\underline{\textbf{\textsf{ Hence-}}}$

(Rationalized)

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ㅤ$\;\;\underline{\textbf{\textsf{ Know More-}}}$

Rationalisation:-

• The process in which we simplify the denominator of a fraction is rationalization of denominator.

• In this, we multiply both with the numerator and denominator the number we obtain after investing the sign of denominator.

• The answer we obtain is the rationalized number.

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Answer 2

Step-by-step explanation:

2-2√6/2 ️