Question

Add and turn to simplest form.

Answer 1

56

Explanation:

Answer 2

The answer is

`43 √(10)`

Explanation:

`5 √(490) + 4 √(40)`

First of all we must make sure that the surds have equal roots

For 5√490

`5 √(490) = 5 √(49 * 10 ) \\ = 5 * √(49) * √(10) \\ = 5 * 7 √(10) \\ = 35 √(10)`

For 4√40

`4 √(40) = 4 * √(4 * 10) \\ = 4 * √(4) * √(10) \\ = 4 * 2 √(10) \\ = 8 √(10)`

So we have

`35 √(10) + 8 √(10)`

Using the rules of surds simplify the expression

That's

`a √(x) + b √(x) = (a + b) √(x)`

So we have

`35 √(10) + 8 √(10) = (35 + 8) √(10) \\`

We have the final answer as

`43 √(10)`

Hope this helps you