Question

Rationalise the denominator and simplify
A) 2sqrt3/sqrt12

B) 5sqrt7/sqrt35

Answer 1

Answer: A) 1 B)
`\sqrt5`

Explanation:

`A)\quad (2\sqrt3)/(√(12))=(2\sqrt3)/(2\sqrt3)=1\\\\\\\\B)\quad (5\sqrt7)/(√(35))=(5\sqrt7)/(\sqrt5\cdot \sqrt7)=(5)/(\sqrt5)\bigg((\sqrt5)/(\sqrt5)\bigg)=(5\sqrt5)/(5)=\sqrt5`