Question

Rationalize the denominator of 1/4-√15
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I will mark u as brainliest (Only if it is correct)

Answer 1

Given,

x = \frac{1}{4 - \sqrt{15} }x=4−151

and,

y = \frac{1}{4 + \sqrt{15} }y=4+151

We have to find,

{x}^{3} + {y}^{3}x3+y3

Finding :

x = \frac{1}{4 - \sqrt{15} }x=4−151

Rationalising the denominator,

= > x = \frac{1}{4 - \sqrt{15} } \times \frac{4 + \sqrt{15} }{4 + \sqrt{15} }=>x=4−151×4+154+15

= > x = \frac{1 \times 4 + \sqrt{15} }{ ({4})^{2} - {( \sqrt{15}) }^{2} }=>x=(4)2−(15)21×4+15

= > x = \frac{4 + \sqrt{15} }{16 - 15}=>x=16−154+15

= > x = \frac{4 + \sqrt{15} }{1}=>x=14+15

= > x = 4 + \sqrt{15} \: \: \:=>x=4+15

Therefore, x = 4 + √15 (I)

Answer 2

Step-by-step explanation:

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