Tick (✓) the correct answer
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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