Question

Answer it plz I'm waiting

Answer 1

Hey friend,
Here is the answer you were looking for:

$\frac{30}{5 \sqrt{3} - 3 \sqrt{5} }$

On rationalizing the denominator we get,

$\frac{30}{5 \sqrt{3} - 3 \sqrt{5} } \times \frac{ 5\sqrt{3} + 3 \sqrt{5} }{5 \sqrt{3} + 3 \sqrt{5} }$

Using the identity :

$(x + y)(x - y) = {x}^{2} - {y}^{2}$

Putting x = 5√3
and y = 3√5

$= \frac{30(5 \sqrt{3} + 3 \sqrt{5}) }{ {(5 \sqrt{3} )}^{2} - {(3 \sqrt{5}) }^{2} } \\ \\ = \frac{150 \sqrt{3} + 90 \sqrt{5} }{75 - 45} \\ \\ = \frac{150 \sqrt{3} + 90 \sqrt{5} }{30} \\ \\ = \frac{30(5 \sqrt{3} + 3 \sqrt{5}) }{30} \\ \\ = 5 \sqrt{3} + 3 \sqrt{5}$

Hope this helps!!

If you have any doubt regarding to my answer, feel free to ask in the comment section or inbox me if needed.

@Mahak24

Thanks...
☺☺

Answer 2

Hey !
Here is your answer !!
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Check the attachment !!


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