Assuming xx and yy are both positive, write the following expression in simplest radical form.3, x, square root of, 150, x, squared, y, to the power 7 , end square root3x 150x 2 y 7
Question
Assuming xx and yy are both positive, write the following expression in simplest radical form.3, x, square root of, 150, x, squared, y, to the power 7 , end square root3x 150x 2 y 7
Solution
The given expression is: 3x√(150x^2y^7)
Step 1: Break down the square root into simplest form. The square root of 150 can be simplified to 5√6.
Step 2: The square root of x^2 is x and the square root of y^7 can be simplified to y^3√y (since y^3 * y^3 = y^6 and we have one y left under the square root).
Step 3: Multiply the constants outside the square root. 3x * 5 gives 15x.
So, the simplified form of the given expression is: 15x * x * y^3√(6y) = 15x^2y^3√(6y)
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