Question

k=√49-12√5 then find the value of k+2​

Answer 1

FIRST FIND THE VALUE OF K

K=$7-2\sqrt{5}$

SO K+2=$7-2\sqrt{5}+2\\=>9-2\sqrt{5}$

Answer 2

Answer:

3√5

Step-by-step explanation:

K= √(49-12√5)

 = √(4+45-12√5)

 = √(2²+(3√5)²-2×2×3√5)

It is observed that this value is in the form of the identity,

(a-b)²=a²+b²-2ab

= √(3√5-2)²

= 3√5-2

Therefore,

K+2 = 3√5-2+2

      = 3√5


Hope it helped you!