Question

Simplify the following:

1.√7 × √7
2.√18 × √2
3.√45
4.√50/5
5.2√2 × 4√5
6.√48 - √12
7.(2-√3) (1+√3))

Answer 1

1. 7

2. 6

`3. 3√(5)`

4?

5.
`8√(10)`

6.
`5√(3)`

7.
`-1+√(3)`

Explanation:

1.
`√(7) *√(7) =√(49)=7`

2.
`√(18)*√(2) =√(36)=6`

3.
`√(45)=\sqrt{9^(2)*5 }=3√(5)`

4. here there are two cases

`\sqrt{(50)/(5) }=√(10)`

`(√(50) )/(5) =(5√(2) )/(5) =√(2)`

5.
`2√(2) *4√(5) =8√(10)`

6.
`√(48)- √(12) =4√(3) -2√(3) =2√(3)`

7.
`(2-√(3) )(1+√(3) )=2+2√(3)-√(3) -3=-1+√(3)`