Question

How do i work this out please?

Answer 1

A. Since they all have the same numbers inside the root simply just solve the outer numbers which is 7-2+1-3 = 3root 3

Answer 2

3
`√(3)` and
`√(7)`

Explanation:

Simplifying surds is similar to collecting like terms in algebra.

If the surds have the same value then collect them by adding/ subtracting their coefficients.

(a)

`√(3)` (7 - 2 + 1 - 3)

=
`√(3)` (3)

= 3
`√(3)`

(b)

`√(7)` (5 + 4 - 8)

=
`√(7)` (1)

=
`√(7)`