Question

hy please solve this question it's urgent plz fast​

Answer 1

Step-by-step explanation:

“अपने मित्र को उसके दोषों को बताना मित्रता की सबसे कठोर परीक्षा होती है।”

- हैनरी वार्ड बीचर

“It is one of the severest tests of friendship to tell your friend his faults.”

- Henry Ward Beecher

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Answer 2

Answer:

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$\sf (i)\:\:\dfrac{6}{ \sqrt{7} - 1}\\\\\\:\implies\sf \dfrac{6}{\sqrt{7} - 1} \times\dfrac{\sqrt{7} + 1}{\sqrt{7} + 1}\\\\\\:\implies\sf \dfrac{6( \sqrt{7} + 1)}{( \sqrt{7})^{2} - (1)^{2} }\\\\\\:\implies\sf \dfrac{6(\sqrt{7} + 1)}{7 - 1}\\\\\\:\implies\sf \dfrac{6(\sqrt{7} + 1)}{6}\\\\\\:\implies\sf \sqrt{7} + 1\\\\\\:\implies\sf 2.64 + 1\\\\\\:\implies\sf 3.64$

$\rule{200px}{.3ex}$

$\sf (ii)\:\:\dfrac{5 + \sqrt{2}}{5 - \sqrt{7}}\\\\\\:\implies\sf \dfrac{5 + \sqrt{2} }{5 - \sqrt{2}} \times\dfrac{5 + \sqrt{2}}{5 + \sqrt{2}}\\\\\\:\implies\sf \dfrac{(5 + \sqrt{2})^{2}}{(5)^{2} - ( \sqrt{2})^{2} }\\\\\\:\implies\sf \dfrac{25 + 2 + 10 \sqrt{2}}{25 - 2}\\\\\\:\implies\sf \dfrac{27 + 10\sqrt{2} }{23}\\\\\\:\implies\sf \dfrac{27 + (10 \times 1.414)}{23}\\\\\\:\implies\sf \dfrac{27 + 14.14}{23}\\\\\\:\implies\sf \dfrac{41.14}{23}\\\\\\:\implies\sf 1.78$

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Kindly see answer through website

• To rationalize Change the sign of the denominator and Multiply it with both Numerator and Denominator.
• After that Simplify both Numerator and Denominator.
• Denominator will always come in the form of (a² - b²)