Question

Simplify by rationalizing the number 3÷5root48

Answer 1

Hello Mate!

Rationalization :-

$\frac{3}{5 \sqrt{48} } \times \frac{5 \sqrt{48} }{5 \sqrt{48} } \\ \frac{3(5 \sqrt{48} )}{25 \times 48} = \frac{3(5 \sqrt{48} )}{1200} \\ = \frac{5 \sqrt{48} }{400 } = \frac{ \sqrt{48} }{80} \\ \sqrt{48} = \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ = 4 \sqrt{3} \\ = \frac{4 \sqrt{3} }{80} = \frac{ \sqrt{3} }{20}$

Hope it helps☺!