Question

please answer my questions with process plz​

Answer 1

Answer:

(✓11)^2 -(✓7)^2

11-7

4

please mark me as brainlist

Answer 2

Ans.1/8

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Ans.2/8

$\textbf{Given:-} \: \frac{4}{ \sqrt{7} + \sqrt{3} }$

Rationalising the denominator

we get

$⇒ \frac{4}{ \sqrt{7} + \sqrt{3} } = \frac{4}{ \sqrt{7} + \sqrt{3} } \times \frac{ \sqrt{7} - \sqrt{3} }{ \sqrt{7} - \sqrt{3} }$

$⇒ \frac{4( \sqrt{7} - \sqrt{3} }{7 - 3}$

$⇒ \frac{4( \sqrt{7} - \sqrt{3} }{4}$

$⇒ \sqrt{7} - \sqrt{3}$

Thus,

$\text{The solution is } \: \sqrt{7} - \sqrt{3}$

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Ans.3/8

$\sqrt[4]{81} - 8 \sqrt[3]{343} + 15 \sqrt[5]{32} + \sqrt{225}$

$⇒3 - 8 \times \sqrt[3]{7 \times 7 \times 7} + 15 \sqrt[5]{2 \times 2 \times 2 \times 2 \times 2 \times 2} + \sqrt{15 + 15}$

$⇒3 - 8 \times 7 + 15 \times 2 + 15$

$⇒3 - 56 + 30 + 15$

$= - 8$

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Ans.4/8

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