Question

If a = 2+√3+√5 and b= 3+√3-√5 then find (a-2)^2+( b-3) ^2​

Answer 1

GIVEN:

•a=2+√3+√5

=>a-2=√3+√5

•b=3+√3-√5

=>b-3=√3-√5

Now

(a-2)²={√3+√5)²

=> 3+5+2√15 =8+2√15

(b-3)²={√3-√5}²

=>3+5-2√15 =8-2√15

So,

(a-2)²+(b-3)² = 8+2√15+8-2√15=8+8=16

Therefore, 16 is the correct answer of this question