Question

if √x=3-√3 find the value of √x+1/√x​

Answer 1

Answer:

2

Step-by-step explanation:

(√x)-(1/√x))^2=x+(1/x)-2*x*(1/x).I.e

(a-b)^2=a*a+b*b-2*a*b.

((√x)-(1/√x))^2=(3–2√2)+(1/3–2√2)-2*(3–2√2)*(1/3–2√2).

Rationalising the above factor (3–2√2) I.e

Multiplying with (3+2√2) in numerator and denominator.so the result be (3+2√2).

((√x)-(1/√x))^2=(3–2√2)+(3+2√2)-2.

((√x)-(1/√x))^2=3+3–2=4.

Applying square root on both sides

(√x)-(1/√x)=2.

So the answer is 2.

Answer 2

Answer:

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