Question 11

If m = 9 and n = $$\frac{1}{3}\ $$m, then $$\ \sqrt{(m)^{2}-(n)^{2}=?}$$

Solution

Given : $$m=9$$ and $$n=\frac{1}{3}m$$

=> $$n=\frac{1}{3}\times9=3$$

To find : $$\sqrt{(m)^{2}-(n)^{2}}$$

= $$\sqrt{(9)^2-(3)^2}$$

= $$\sqrt{81-9}=\sqrt{72}=6\sqrt2$$

=> Ans - (B)

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