Question

Which expression is equal to 3 V-75?

15173
15v3i
-15iV3
-1573
न
2
3
4
5

Answer 1

15i
`√(3)`

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)` and
`√(-1)` = i

Given

3
`√(-75)`

= 3 ×
`√(25(3)(-1))`

= 3 ×
`√(25)` ×
`√(3)` ×
`√(-1)`

= 3 × 5 ×
`√(3)` × i

= 15i
`√(3)`