Question

Simplify the following​

Answer 1

Explanation:

please I solved the question in the diagram above

Answer 2

1) 11
`√(3)`

2) 2
`√(2)`

3)
`20√(3) + 15√(2)`

4)
`53 + 12√(10)`

5) -2

6)
`7√(2) - 5√(3)`

Explanation:

1) 2
`√(12)` + 3
`√(48)` -
`√(75)`

=(2 × 2
`√(3)` )+ (3 × 4
`√(3)`) - 5
`√(3)`

= 4
`√(3)` + 12
`√(3)` - 5
`√(3)`

= 11
`√(3)`

2) 4
`√(8)` -2
`√(98)` +
`√(128)`

= (4 × 2
`√(2)`) - (2 × 7
`√(2)`) + 8
`√(2)`

= 8
`√(2)` - 14
`√(2)` +8
`√(2)`

= 2
`√(2)`

3) 5
`√(12\\)` - 3
`√(18) + 4 √(72) +2√(75)`

= 5×
`2√(3)` - 3×
`3√(2)` + 4×
`6√(2)` + 2×
`5√(3)`

=
`10√(3) - 9√(2) +24√(2) +10√(3)`

=
`20√(3) + 15√(2)`

4)
`(2√(2) + 3√(5) )^(2)`

=
`8 + 12√(10) + 45`

=
`53 + 12√(10)`

5)
`(1+√(3) ) (1-√(3) )`

=
`1 - 3`

= -2

6)
`(2√(6) -1) (√(3) -√(2) )`

=
`2√(18)-2√(12) -√(3) +√(2)`

= 2×
`3√(2)` - 2×
`2√(3)` -
`√(3) + √(2)`

=
`6√(2) - 4√(3) -√(3) +√(2)`

=
`7√(2) - 5√(3)`

Hope the working out is clear and will help you. :)