Question

Rationalize the denominator 3 root 8 / root 5

Answer 1

3√8/ √5

(RF= √5)

3√8/√5 × √5/√5

3√8×5/5

3√40/5

3√2×2×2×5/5

3×2√10/5

6√10/5

Answer 2

$\huge \bigstar\: \: \: \: \: \frac{3 \sqrt{8} }{ \sqrt{5} } \\ \\ = > \frac{3 \sqrt{8} }{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } \\ \\ = > \frac{3 \sqrt{40} }{5} \\ \\ = > \frac{3 \sqrt{4 \times 2 \times 5} }{ {5} } \\ \\ = > \frac{3 \times \sqrt{4} \times \sqrt{2 \times 5} }{ {5} } \\ \\ = > \frac{3 \times 2 \sqrt{10} }{5} \\ \\ = > \red{\frac{6 \sqrt{10} }{5} }$