math b

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

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  1. 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

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  2. is there a way that the 1/3sqrt18 x sqrt16 problem can be solved

    150 / 3

    and
    6
    sqrt7 + 2

    i'm having trouble with those.

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  3. 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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