Question

rationalise the denominator of 1/3-√2​

Answer 1

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Answer 2

• GIVEN:-

$\large{\sf{\frac{1}{3-\sqrt{2}}}}$

• To Find:-.

Rationalise the denominator.

• SOLUTION:-

$\large\Longrightarrow{\sf{\frac{1}{3-\sqrt{2}}}}$

$\large\Longrightarrow{\sf{\frac{1}{3-\sqrt{2}}\times\frac{3+\sqrt{2}}{3+\sqrt{2}}}}$

$\small{\sf{Using \:identity \::({a}^{2}-{b}^{2})=(a+b)(a-b)}}$

$\large\Longrightarrow{\sf{\frac{3+\sqrt{2}}{{(3)}^{2}-\sqrt{(2)}^{2}}}}$

$\large\Longrightarrow{\sf{\frac{3+\sqrt{2}}{9-2}}}$

$\large\Longrightarrow{\sf{\frac{3+\sqrt{2}}{7}}}$

$\large\green\therefore\boxed{\sf{\green{\frac{3+\sqrt{2}}{7}}}}$