Custom operator evaluation

CMAT 2018 · Quantitative Techniques & Data Interpretation · Easy · Algebra

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

Answer

First evaluate $4 * 16 = \sqrt{4 \times 16} = \sqrt{64} = 8$ . Next evaluate $8 * 8 = \sqrt{8 \times 8} = 8$ .

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