What is the value of \(\frac{{\sqrt {28} \times \sqrt {24} }}{{\sqrt {12} \times \sqrt 8 }}?\)
Solution
Correct Answer: Option D
Solution:
\(\frac{{\sqrt {28} \times \sqrt {24} }}{{\sqrt {12} \times \sqrt 8 }} = \frac{{\sqrt {4 \times 7} \times \sqrt {4 \times 6} }}{{\sqrt {3 \times 4} \times \sqrt {2 \times 4} }} = \frac{{2\sqrt 7 \times 2\sqrt 6 }}{{2\sqrt 3 \times 2\sqrt 2 }} = \frac{{4\sqrt 7 \times \sqrt 6 }}{{4 \times \sqrt {3 \times 2} }} = \frac{{\sqrt 7 \times \sqrt 6 }}{{\sqrt 6 }} = \sqrt 7 \)
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