Question

find the value of a and b......... √5+√3/√5-√3=a+b√15​

Answer 1

Answer:(a+b)a must be equal to 20 as per my calculation.

Step-by-step explanation:

Answer 2

Answer:

a = 4, b = 1

Step-by-step explanation:

$\frac{\sqrt{5} + \sqrt{3}}{{\sqrt{5} -\sqrt{3} }}$ = a+b√15​

$\frac{\sqrt{5} + \sqrt{3}}{{\sqrt{5} -\sqrt{3} }}$ ×$\frac{\sqrt{5} + \sqrt{3}}{{\sqrt{5} + \sqrt{3} }}$ = a+b√15​

$\frac{5 + 2\sqrt{15} + 3 }{5 - 3}$ = a+b√15​    [{(a+b)² = a² + 2ab + b²}, {(a + b)(a - b) = a² - b²}}

$\frac{8 + 2\sqrt{15}}{2}$  = a+b√15

$\frac{2(4 + \sqrt{15})}{2}$  = a+b√15

4 + $\sqrt{15}$ = a+b√15

==> a = 4, b = 1

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