Question

Simplify the following surd expressions

a)

`6 √(2) - 5 √(2)`

b)

`\sqrt 11 + 3 √(11)`
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Answer 1

`A) \: 6 √(2) - 5 √(2) = (6 - 5) √(2) = √(2) \\`

√2 is the right answer.

`B) √(11) + 3 √(11) = (1 + 3) √(11) = 4 √(11)`

4√11 is the right answer.

Answer 2

A)
`√(2)`

B)
`4√(11)`

Explanation:

A) You can add these expression because they contain the same square root:

`6√(2) - 5√(2) = (6 - 5)√(2) =√(2)`

B) Same as above:

`√(11) + 3√(11) = (1 + 3)√(11) = 4√(11)`