Question

What is this including the integers please?

Answer 1

5
`√(11)`

Explanation:

Using the rule of radicals

`√(a)` ×
`\sqrt{b` =
`√(ab)`

Simplifying the radicals

`√(99)`

=
`√(9(11))`

=
`√(9)` ×
`√(11)`

= 3
`√(11)`

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

`√(44)`

=
`√(4(11))`

=
`√(4)` ×
`√(11)`

= 2
`√(11)`

Then

`√(99)` +
`√(44)`

= 3
`√(11)` + 2
`√(11)`

= 5
`√(11)`

with a = 5 and b = 11

Answer 2

3
`√(11)` + 2
`√(11)` = 5
`√(11)`

Explanation:

`√(99)` =
`√((9)(11) )` = 3
`√(11)` (separate perfect squares using factoring)

`√(44)` =
`√((4)(11))` = 2
`√(11)`

3
`√(11)` + 2
`√(11)` = 5
`√(11)` (add like terms. Think of the
`√(11)` like x's.)

(Just add the coefficients)