# If √(1 + x/64) = 9/8, then x = ?

**Answer: (3) 17**

**Solution:-**

Ö(1 + X/64) = 9/8

Square on both side,

1 + X/64 = (9/8)^{2}

1 + X/64 = 81/64

1 = 81/64 – X/64

1 = (81 – X)/64

By cross multiplication,

64 = 81 – X

X = 81 – 64

X = 17

Then, the value of X is 17.

Hence, the correct answer is option (3) 17.