Question 14

If $$\sqrt{21}=4.58$$, then what is the simplified value of $$(8\sqrt{\frac{3}{7}}-3\sqrt{\frac{7}{3}})$$ ?

Solution

Given : $$\sqrt{21}=4.58$$

To find : $$(8\sqrt{\frac{3}{7}}-3\sqrt{\frac{7}{3}})$$

= $$\frac{(8\times3)-(3\times7)}{\sqrt{21}}$$

= $$\frac{(24-21)}{\sqrt{21}}=\frac{3}{\sqrt{21}}$$

= $$\frac{3}{4.58}\approx0.655$$

=> Ans - (C)

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