Question

Simplify. 3725−−√−2825−−√+6325−−√ 457√ 7√ 257√ 857√

Answer 1

Option A.

Explanation:

Consider the given problem is

`3\sqrt{(7)/(25)}-\sqrt{(28)/(25)}+\sqrt{(63)/(25)}`

Using the properties of radical expressions we get

`3\cdot (√(7))/(√(25))-(√(28))/(√(25))+(√(63))/(√(25))`
`[\because \sqrt{(a)/(b)}=(√(a))/(√(b))]`

`3\cdot (√(7))/(√(25))-(√(4)√(7))/(√(25))+(√(9)√(7))/(√(25))`
`[\because √(ab)=√(a)√(b)]`

`3\cdot (√(7))/(5)-(2√(7))/(5)+(3√(7))/(5)`

Taking out common factors.

`(√(7))/(5)(3-2+3)`

`(√(7))/(5)(4)`

`(4√(7))/(5)`

The simplified form of given expression is
`(4)/(5)√(7)`

Therefore, the correct option is A.