Question 15

If a and b are positive real numbers and $$a * b$$ denotes $$\sqrt{a \times b}$$, what is the value of 8 * (4 * 16)?

Solution

Given, If a and b are positive real numbers then a * b denotes √ab

Consider 4 * 16 = $$\sqrt{4\times 16} = \sqrt64 = 8$$

then 8 * 8 = $$\sqrt{8\times 8} = \sqrt64 = 8$$

Hence the value of 8 * (4 * 16) = 8

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