Question

Simplify square root of 75/4 + square root of 12/9

Answer 1

Answer: (A) -
`(19√(3))/(6)`

Proof:
`\sqrt{(75)/(4)} = (5√(3))/(2)`

`\sqrt{(12)/(9)} = (2√(3))/(3)`

Hence,
`\sqrt{(75)/(4)} + \sqrt{(12)/(9)}`

`= (5√(3))/(2) + (2√(3))/(3)`

`= (15√(3) + 4√(3))/(6)`


`= (19√(3))/(6)` (ie A)