Question

Find the value of √32 / √48 *

√2/√9
√2 / √3
√9/√6
√3/√2

Answer 1

$\huge\sf\blue{\frac{ \sqrt{32} }{ \sqrt{48} }}$

$\sf\red{\sqrt{32} = \sqrt{2 \times 2 \times 2 \times 2 \times 2} }$

$\sf\red{\sqrt{48} = \sqrt{2 \times 2 \times 3 \times 2 \times 2} }$

⟹ $\huge\sf\pink{\frac{ \sqrt{2 \times 2 \times 2\times 2 \times 2} }{ \sqrt{2 \times 2 \times 2 \times 2 \times 3}} }$

⟹ $\huge\sf\purple{\frac{2 \times 2 \sqrt{2} }{2 \times 2 \sqrt{3} } }$

⟹ $\huge\sf\orange{ \frac{4 \sqrt{2} }{4 \sqrt{3} }}$

4 is cancelled.

⟹ $\huge\sf\green{\frac{ \sqrt{2} }{ \sqrt{3}} }$

So your answer is √2/√3.