Question

26. If K = 19 +8√3, then find the value of
√K - (√K + √3).
(A) O
(B) 1
(C) 2
(D) 3
(E) None of these​

Answer 1

${\huge{\underbrace{\overbrace{\pink{Answer:-}}}}}$

Option C - 2

$\large\bf \underline\red{Explaination:-}$

k = 7-4√3

(√k +√3) = [( √ 7-4√3 ) + √3)]^3/2

= [ √(4+3 -2•2√3) + √3]^3/2

= [ √(2-√3)^2 + √3]^3/2

= [ 2-√3 +√3]^3/2

= (2)^3/2

or

>>>. 2√2