Question

$\frac{7}{ \sqrt{12 - \sqrt{5} } }$
Multiply and divide by the conjugate of the denominator.

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Answer 1

Given that:- $\frac{7}{ \sqrt{12 - \sqrt{5} } }$

We have to, multiply and divide by the conjugate of the denominator.

$\huge\mathfrak{\underline{SOLUTION:-}}$

Answer:-The conjugate of (√12 – √5) is (√12 + √5)

$\bold{STEP-BY-STEP-EXPLANATION}$

$\frac{7}{ \sqrt{12 - \sqrt {5} } } \times \frac{ \sqrt{12 + \sqrt{5} } }{ \sqrt{12 + \sqrt{5} } } = \frac{7 \sqrt{12 + \sqrt{5} } }{ \sqrt{12 {}^{2} } } - \sqrt{5 {}^{2} }$

$= 7 \frac{ \sqrt{12} + \sqrt{5} }{12 - 5}$

$= 7 \frac{ \sqrt{12} + \sqrt{5} }{7} = \sqrt{12} + \sqrt{5}$

Hence, it is proved that the conjugate of (√12 – √5) is (√12 + √5)

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Answer 2

Step-by-step explanation:

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