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| 1. |
If x=3+2√2then find the value of √x-1/√x |
| Answer» x = 3+2√21/x = 1/(3+2√2)={1/(3+2√2)}{(3-2√2)/(3-2√2)}=(3-2√2)/{3^2-(2√2)^2}=(3-2√2)/(9-8)=3-2√2(√x - 1/√x)^2=x + 1/x - 2=3+2√2+3-2√2-2=6-2=4Therefore (√x - 1/√x) = √4√x - 1/√x = + or - 2 | |