Question

(√15 - √5)², Simplify.

Answer 1

HEY MATE....✌

HERE'S THE ANSWER
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FROM FORMULA:-
( a-b)^2= a^2+ b^2-2ab
(√15 -√5)^2=(√15)^2+(√5)^2-2√15*√5
=15+5-2√15*√5
=20-2√75
=2(10-√75)....@ns

Answer 2

Hi ,

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We know the algebraic identity :

( a - b )² = a² - 2ab + b²

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Here ,

a = √15 , b = √5

Now ,

( √15 - √5 )²

= (√15 )² - 2 × √15 × √5 + ( √5 )²

= 15 - 2√( 15 × 5 ) + 5

= 20 - 2√( 5 × 3 × 5 )

= 20 - 10√3

= 10( 2 - √3 )

I hope this helps you.

: )