Question

State whether true or false in the following:

`sqrt(125) + 7 - sqrt(5) - sqrt(80) = 7`

Answer 1

This statement is true.

Explanation:

Step-by-step simplification:

• `sqrt(125) = sqrt(25 xx 5) = 5sqrt(5)`
• `sqrt(80) = sqrt(16 xx 5) = 4sqrt(5)`

Now substitute:

`5sqrt(5) + 7 - sqrt(5) - 4sqrt(5)`

Group like terms:

`(5sqrt(5) - sqrt(5) - 4sqrt(5)) + 7`

= 0 + 7

= 7