Question

If x=3-2√2, find the value of- a)√x+1/√x. b)√x-1/√x​

Answer 1

Answer:

A) 2√2

B) -2

Step-by-step explanation:

A)

Concept:

• (a + b) ² = a² + b² + 2ab

Calculation:

Given:

• x - 3 - 2 √ 2

Here, we have to find the value of:

• √x + (1√x)

Let: √x+1/√x

• y² = x + 1/x + 2
• y² = 3 - 2√2 + 1/(3-2√2) + 2
• y² = 5 - 2√2 + 3 + 2 + 2√2
• y = 2√2

B)

x = 3 -  2√2

√x = √3-2√2  =  √2+1-2√2*1 = √2-1

1/x = 1/√2-1 = √2+1

√x - 1/x = (√2 - 1) - (√2 + 1) = -2