Posted by **jason silverman** on Wednesday, January 2, 2008 at 4:51pm.

Combine the radicals

sqrt 72 + sqrt 18

6sqrt7 - 4sqrt7

Multiply & express in simplest form

sqrt5 x sqrt20

1/3sqrt18 x sqrt16

Divide & express in simplest form

sqrt80 / sqrt5

sqrt150 / sqrt3

Rationalize the denominator

5

/

2-sqrt3

6

/

sqrt7+2

3

/

sqrt6

2+sqrt3

/

4-sqrt3

- math b -
**Damon**, Wednesday, January 2, 2008 at 5:01pm
I will do the first one and the last one, you do the rest.

sqrt 72 + sqrt 18

=

sqrt (18*4) + sqrt 18

=

2 sqrt 18 + 1 sqrt 18

=

3 sqrt (3*3*2)

=

9 sqrt 2

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

(2+sqrt 3) (4+sqrt3)

/

(4-sqrt 3) (4+sqrt3)

=

(8 +6sqrt 3 + 3 )

/

(16-3)

=

(11 +6 sqrt 3)

/

13

- math b -
**drwls**, Thursday, January 3, 2008 at 2:32pm
If you mean (1/3)sqrt18 x sqrt16, that is (1/3)sqrt(9*2)* 4 = 4 sqrt 2

Surely you know what 150/3 is.

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