Question

√2x³. √10x

Help please

Answer 1

You can write as
`2 √(5) {x}^(2)` or
`\boxed{2 {x}^(2) √(5)}`

Explanation:

Find product of the groups,

`\sqrt{2 {x}^(3) \: . \: 10x}`

Regrouping,

`\sqrt{2{x}^(3 + 1) \: . \: 10 }`

Multiplying,

`\sqrt{20 {x}^(3 + 1) }`

Add constants,

`\sqrt{20 {x}^(4) }`

Rewrite 20 as 4 • 5,

`\sqrt{4 \: . \: 5 {x}^(4) }`

Rewrite 4 as 2² ,

`\sqrt{ {2}^(2) \: . \: 5 {x}^(4) }`

Using radical rules,

`\sqrt{ {2}^(2) } √(x) √(5)`

Reduce root and power,

→
`\underline {2 {x}^(2) √(5)}`