Question:
Tick (✓) the correct answer
$\frac{\sqrt{288}}{\sqrt{128}}=?$
(a) $\frac{\sqrt{3}}{2}$
(b) $\frac{3}{\sqrt{2}}$
(C) $\frac{3}{2}$
(d) $1.49$
Solution:
(C) $\frac{3}{2}$
$\frac{\sqrt{288}}{\sqrt{128}}=\sqrt{\frac{288}{128}}=\sqrt{\frac{2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3}{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2}}=\sqrt{\frac{3 \times 3}{2 \times 2}}=\frac{\sqrt{3 \times 3}}{\sqrt{2 \times 2}}=\frac{3}{2}$
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