Question

square root of 80 + square root of 20 divided by square root of 3 in the form of square root a where a is an integer

Answer 1

Explanation:

( + ) ÷ =

= (√4·4·5 + √4·5) ÷

= (4 + 2) ÷

= 6 ÷

at this point you want to rationalize the denominator, meaning multiply the numerator and denominator by

= (6√5·3) ÷ √3·3

= 6 ÷ 3

= 2

Answer 2

2
`√(15)`

Explanation:

(
`√(80)` +
`√(20)`) ÷
`√(3)` =

= (√4·4·5 + √4·5) ÷
`√(3)`

= (4
`√(5)` + 2
`√(5)`) ÷
`√(3)`

= 6
`√(5)` ÷
`√(3)`

at this point you want to rationalize the denominator, meaning multiply the numerator and denominator by
`√(3)`

= (6√5·3) ÷ √3·3

= 6
`√(15)` ÷ 3

= 2
`√(15)`