Question

4-√15/4+√15=a+b root 15


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Answer 1

Answer a=31 and b= -8

Explanation:    $\frac{4-\sqrt{15} }{4+\sqrt{15} }$

Rationalise the following

multiply the numerator and denominator by (4-$\sqrt{15}$)

you will get $\frac{(4-\sqrt{15}) ^{2} }{(4+\sqrt{15})*(4-\sqrt{15}) }$

(16+15-8$\sqrt{15}$)/($4^{2} -\sqrt{15} ^{2}$)

=31-8$\sqrt{15}$ compare it with a+b$\sqrt{15}$

Thanks I hope it is clear now

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