Express in simplest radical form.square root of, 5, x, to the power 7 , end square root5x 7
Question
Express in simplest radical form.square root of, 5, x, to the power 7 , end square root5x 7
Solution
The expression you provided seems to be "√(5x^7)". To simplify this, follow these steps:
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Break down the expression inside the square root into parts that are squares. In this case, 5 is a prime number and cannot be simplified further. However, x^7 can be broken down into (x^6)*(x^1), where x^6 is a perfect square.
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Take the square root of the perfect squares. The square root of x^6 is x^3.
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Leave the non-perfect squares inside the square root. In this case, that's 5 and x^1.
So, the simplified form of √(5x^7) is x^3√(5x).
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