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25 September, 00:15

What is the exact value of the expressions the square root of 180. - the square root 125. + the square root of 5.? Simplify if possible.

2 the square root of 2.

12 the square root of 2.

2 the square root of 5.

12 the square root of 5.

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  1. 25 September, 00:36
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    Rewrite √180 as √ (6^2*5), pull terms out from under the radical to get 6√5

    Rewrite √125 as √ (5^2*5), pull terms out from under the radical to get 5√5

    Now you have:

    6√5 - 5√5 + √5 = 2√5 (2 the square root of 5.)
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