Question 147

If $$11\sqrt{n}=\sqrt{112}\ +\ \sqrt{343}$$, then the value of n is

Solution

Expression : $$11\sqrt{n}=\sqrt{112}\ +\ \sqrt{343}$$

=> $$11\sqrt{n}=\sqrt{16\times7}\ +\ \sqrt{7\times7\times7}$$

=> $$11\sqrt{n}=4\sqrt{7}\ +\ 7\sqrt{7}$$

=> $$11\sqrt{n}=11\sqrt7$$

=> $$\sqrt{n}=\sqrt7$$

=> $$n=7$$

=> Ans - (B)

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