Question

Please explain the answer with proper written steps

Answer 1

Answer:

(B) 108

Step-by-step explanation:

√225 = 15

√(154 + 15) = √169 = 13

√{10 + √[25 + √(x + 13)]} = 4

{10 + √[25 + √(x + 13)]}² = 4²

10 + √[25 + √(x + 13)] = 16

√[25 + √(x + 13)] = 16 - 10

√[25 + √(x + 13)] = 6

{√[25 + √(x + 13)]}² = 6²

25 + √(x + 13) = 36

√(x + 13) = 36 - 25

√(x + 13) = 11

[√(x + 13)]² = 11²

x + 13 = 121

x = 108