Question

if √x=7-3√2.find the value of √x+1/√x​

Answer 1

Step-by-step explanation:

√x=7-3√2

1/√x=1/7-3√2

Rationalise The value of 1/√x

Rationalising Factor of 7-3√2=7+3√2

1×7+3√2/(7-3√2)(7+3√2)

7+3√2/7²-(3√2)²

7+3√2/49-9×2

7+3√2/49-18

7+3√2/31

So,

1/√x=7+3√2/31

√x+1/√x

7-3√2+7+3√2/31

31(7-3√2)+7+3√2/31

217-93√2+7+3√2/31

224-90√2/31

Answer=224-90√2/31