Question

Question 1 (2 points) Simplify 7√45. .​

Answer 1

21
`√(5)`

Explanation:

using the rule of radicals

•
`√(a)` ×
`√(b)` ⇔
`√(ab)`

using this rule to simplify
`√(45)`

`√(45)`

=
`√(9(5))`

=
`√(9)` ×
`√(5)`

= 3 ×
`√(5)`

= 3
`√(5)`

Then

7
`√(45)`

= 7 × 3
`√(5)`

= 21
`√(5)`