What is the exact value of the expression √32 + √75 - √98? Simplify completely.
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What is the exact value of the expression √32 + √75 - √98? Simplify completely.

[From: ] [author: ] [Date: 11-06-10] [Hit: ]
-Factor 32, 75,......
First find 2 products of the numbers and one has to be a perfect square.

√32 = √ 16 x 2 which is simplified to 4√ 2

√ 75 = √ 25 x 3 = 5 √3

√98 = √49 x 2 = 7√ 2

4√2 + 5√3 - 7√2
This is simplified to -3√2 + 5√3

-
4.4176133507251013212321655349003...

Rounded: 4.42

By the way, stop cheating on your homework.

-
Factor 32, 75, 98

32 = 2^5

75 = 3*5^2

98 = 2*7^2

4*sqrt(2) + 5*sqrt(3) - 7*sqrt(2) = 5*sqrt(3) - 3*sqrt(2)

-
√32 + √75 - √98 =
4√2 + 5√3 - 7√2 =
5√3 - 3√2
1
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