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Simplify the following surd expressions-

Simplify the following surd expressions--example-1

2 Answers

8 votes

Answer:


√(2) and 4
√(11)

Explanation:

To simplify like surds, add/ subtract the coefficients.

(a)


√(2) (6 - 5)

=
√(2) (1)

=
√(2)

(b)


√(11) ( 1 + 3)

=
√(11) (4)

= 4
√(11)

User Andy Tinkham
by
6.0k points
5 votes

Using the distributive property we will get:

a) 6√2 - 5√2 = √2

b)√11 + 3*√11 = 4√11

How to simplify the expressions?

Remember the distributive property:

A*(B + C) = A*B + A*C

a) We have the expression:

6√2 - 5√2

Notice that the factor √2 apperas in both terms, then we can rewrite this as:

√2*(6 - 5) = √2

b) Here we have:

√11 + 3*√11

Now √11 appears in both terms, we can do the same thing:

√11*(1 + 3) = 4√11

User David Keaveny
by
7.1k points