Ashifur September 9, 2023 - 18:03
Problem: If x=3+22, then find the valu of $\sqrt{x}-\frac{1}{\sqrt{x}}$

View all: STANDARD BANK LTD (ATO) WRITTEN QUESTION (MATH) SOLVE | 2018

Correct Answer: $\sqrt{x-\frac{1}{\sqrt{x}}}=\frac{24}{5}$

Explanation:

Given x=3+22

=> x=25

=> 5$^{2}$=x

=> 5=$\sqrt{x}$

so, $\sqrt{x}$=5

Now, $\sqrt{x}$-$\frac{1}{\sqrt{x}}=5-\frac{1}{5}$

=$\frac{25-1}{5}=\frac{24}{5}$

=>$\sqrt{x-\frac{1}{\sqrt{x}}}=\frac{24}{5}$

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