Question

Which expression is equivalent to 3 square root of 50 times square root of 22

Answer 1

30
`√(11)`

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)`

Simplifying 3
`√(50)`

= 3(
`√(25(2))` )

= 3(5
`√(2)` )

= 15
`√(2)`

Thus

3
`√(50)` ×
`√(22)`

= 15
`√(2)` ×
`√(22)`

= 15 ×
`√(2(22))`

= 15 ×
`√(44)`

= 15 ×
`√(4(11))`

= 15 × 2
`√(11)`

= 30
`√(11)`