Question

If x=3+2√2, find the value of √x

Answer 1

here 2√2 = 2.828427125
x = 3+2.828427125
x = 5.828427125
√x = √5.828427125
√x = 2.414213562

Answer 2

Given x = 3 + 2√2

  x = 2 + 1 + 2√2

  x = (√2)² + 1² + 2×√2×1

  x = (√2 + 1)²

√x = (√2 + 1)