Question

Simplify the following surds
b) √12
c)√32

Answer 1

B) 2 √3
C) 4 √2
Comment if you need to now the steps

Answer 2

(b) 2
`√(3)` , (c) 4
`√(2)`

Explanation:

using the rule of radicals

•
`√(ab)` ⇔
`√(a)` ×
`√(b)`

(b)

`√(12)`

express 12 as a product of factors of which one is a perfect square

=
`√(4(3))`

=
`√(4)` ×
`√(3)`

= 2
`√(3)`

----------------------------

(c)

`√(32)`

express 32 as a product of factors of which one is a perfect square

=
`√(16(2))`

=
`√(16)` ×
`√(2)`

= 4
`√(2)`