Question

Simplify:
(i) 5√7 x 3√14

Answer 1

105
`√(2)`

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)`

Given

5
`√(7)` × 3
`√(14)`

= 5 × 3 ×
`√(7(14))`

= 15 ×
`√(98)`

= 15 ×
`√(49(2))`

= 15 ×
`√(49)` ×
`√(2)`

= 15 × 7 ×
`√(2)`

= 105
`√(2)`

Answer 2

5√7 × 3√14 = 5 × 3√(7 × 14)

= 15√98

= 105√2