Question

if x= 3+2√2 , find the value of (√x+1÷√x)​

Answer 1

siddarth

Rajwardan

navan

Aryan s

Answer 2

Step-by-step explanation:

Here,

x = 3 + 2√2

√x = √(3 + 2√2)

√x = √[(√2)^2 + (1)^2 + (2×√2×1)]

√x = √(√2 + 1)^2

√x = √2 + 1

Now,

(√x + 1)÷√x

(√2 + 1 + 1) ÷ (√2 + 1)

(√2 + 2) ÷ (√2 + 1)

Rationalising the denominator

(√2 + 2)(√2 - 1) ÷ (√2 + 1)(√2 - 1)

(2 + 2√2 - √2 - 2) ÷ (2-1)

√2 ÷ 1

√2

HERE'S YOUR ANSWER