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91Ó°ÊÓ

Using \(\sqrt{50}\), explain how to simplify a square root.

Short Answer

Expert verified
The simplified form of \(\sqrt{50}\) is \(5\sqrt{2}\).

Step by step solution

01

Prime Factorization

Begin by breaking down 50 into prime factors. The prime factors of 50 are 2 and 5. The number 50 can be written as \(2 \times 5^2\).
02

Square Root Simplification

Simplify the square root by identifying pairs of identical factors. There is a pair of 5s. Therefore, one pair of 5 can be taken out of the root. The final simplified square root would be \(5\sqrt{2}\).

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