Question

4. Addition of 3√5+4√6 and √5-8√6 *

Answer 1

Answer:

Given: How do you add and subtract radicals?

To add and subtract radicals, they must be the same radical

Example1:

√

5

+

2

√

5

=

3

√

5

Example 2:

6

√

2

−

2

√

2

=

4

√

2

If you can simplify the square root by using perfect squares to make them the same radical, do it using

√

m

⋅

n

=

√

m

⋅

√

n

Example 3:

6

√

8

−

2

√

2

Simplify

√

8

:

√

8

=

√

4

⋅

√

2

=

2

√

2

6

√

8

−

2

√

2

=

6

⋅

2

√

2

−

2

√

2

=

12

√

2

−

2

√

2

=

10

√

2