Question

Rationalize the denominator​

Answer 1

Answer:

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$\frac{2}{ \sqrt{7} - 1} \\ = > \frac{2}{ \sqrt{7} - 1} \times \frac{ \sqrt{7} + 1}{ \sqrt{7} + 1} \\ = > \frac{2( \sqrt{7} + 1)}{ \sqrt{7} {}^{2} - 1 {}^{2} } \\ = > \frac{2 \sqrt{7} + 2}{7 - 1} \\ = > \frac{2( \sqrt{7} + 1)}{6} \\ = > \frac{ \sqrt{7} + 1}{3}$

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$\color{red}\boxed{\colorbox{skyblue}{Additional Information~}}$

Here..

• Step 3 contains the algebraic identity

( a + b ) × ( a - b ) = a² - b²

• Also.. in the very last step ,

we earlier had 2 multiplied to rest of the numerator and 6 in the denominator..

we simply divided both the numerator as well as denominator by 2 and hence got the result obtained.

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hope helpful~

~Be Brainly!

~Exhausted Zombie

Answer 2

Here’s the answer….hope it helps ;)