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What will come in place of the question mark (?) in the given questions?
Question 149
$$\frac{\sqrt{(180)}\times\sqrt{(18)}\times\sqrt{(5)}\times\sqrt{(3)}}{\sqrt{(96)}\times5}=?$$
Solution
Expression : $$\frac{\sqrt{(180)}\times\sqrt{(18)}\times\sqrt{(5)}\times\sqrt{(3)}}{\sqrt{(96)}\times5}=?$$
= $$\frac{\sqrt{180 \times 18 \times 5 \times 3}}{\sqrt{16 \times 6} \times 5}$$
= $$\frac{\sqrt{(18 \times 18) \times (5 \times 5) \times 6}}{\sqrt{6} \times 4 \times 5}$$
= $$\frac{18 \times 5 \times \sqrt{6}}{20 \times \sqrt{6}}$$
= $$\frac{90}{20} = \frac{9}{2}$$
= $$4\frac{1}{2}$$
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