Question

(3√5+√3)(√5-√3) solve it please I have it in exam

Answer 1

Hello friends!!

Here is ur answer :

$(3 \sqrt{5} - \sqrt{3} )( \sqrt{5 } - \sqrt{3} )$



$=3 \sqrt{5} ( \sqrt{5} - \sqrt{3} ) + \sqrt{3} ( \sqrt{5} - \sqrt{3} )$



$=3\sqrt{5} \times \sqrt {5} - 3\sqrt{5} \times \sqrt{3} + \sqrt{3} \times \sqrt{5} - \sqrt{3} \times \sqrt {3}$


$=3 \times 5 \: - 3 \sqrt{15} \: + \sqrt{15} - 3$



$=15 - 3 -3 \sqrt{15} \sqrt{15}$


$= 12 - 2\sqrt{15}$


$=2 ( 6 - \sqrt{15})$


HOPE IT HELPS YOU..

Answer 2

(3√5+√3) * (√5-√3)

( [3√5*√5] +[3√5 *(-√3)] +[√3*√5] +[√3*(-√3)]

[3*5] + [-3√15] + [√15] +[-3]

15-3√15 +√15 -3

15-3 -2√15

12-2√15

2(6- √15)

I hope this this will help you

-by ABHAY