Question

rationalize the denominator
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Answer 1

ANSWER

$\frac{ \sqrt{2} + 10 }{ \sqrt{2} - 10} \times \frac{ \sqrt{2} + 10 } { \sqrt{2} + 10 }$

$\frac{ \sqrt{2} ( \sqrt{2} + 10) + 10( \sqrt{2} + 10) }{ {( \sqrt{2} )}^{2} - {(10)}^{2} }$

$\frac{2 + 10 \sqrt{2} + 10 \sqrt{2} + 100} {2 - 100} = \frac{2 + 20 \sqrt{2} + 100 }{ - 98}$

$\frac{2(1 + 10 \sqrt{2} +50)}{ - 98} = \frac{1 + 10 \sqrt{2} + 50}{ - 49}$

$= \frac{ - (10 \sqrt{2} + 51)}{49}$

Hope it helps you

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