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Simplify square root of 50

2 Answers

2 votes

Answer:
\sqrt[5]{2}

Step-by-step explanation: To simplify the square root of 50, we can first start by setting up a factor tree. The square root of 50 can be broken down into 2 and 25 and 25 can be broken down into 5 and 5. Notice that we have a pair of 5’s in our factor tree which means a 5 can come outside of the radical and a 2 can stay inside the radical because it does not pair up.

Simplify square root of 50-example-1
User Leif Neland
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The square root of 50 is equal to the square root of 2 times the square root of 25, since 2 * 25 = 50 The square root of 25 is 5, and the square root of two is just left as the square root of two since it is an irrational number. Therefore, the square root of 50 is five times the square root of 2 SQRT 50 = 5 * SQRT 2.
User Interwebjill
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