Question

the value of (√5-√3)² is

Answer 1

Answer:

8 - 2√15

Step-by-step explanation:

(√5-√3)^2

(a - b) ^2

a^2+b^2-2ab

(√5)^2+(√3)^2-2√5√3

5+3-2√15

8 - 2√15

Answer 2

Step-by-step explanation:

Given expression is (√5-√3)²

This is in the form of (a-b)² .

Where a=√5 and b=√3

(a-b)²=a²-2ab+b²

=>(√5-√3)² =(√5)²-2(√5)(√3)+(√3)²

=>5-2(√15)+3

=> 8-2√15

The value of (√5-√3)² is 8-2√15