What is the s9mplermform of the radical expression?
sqrt36g^6
my answer is 6lg^3l
correct
The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . What are the slope (m) and length of ? Use the distance formula to help you decide: .
To simplify the radical expression √(36g^6), you can follow these steps:
Step 1: Factor the radicand (the number inside the square root) into its prime factors.
36 can be written as 6 * 6, and g^6 can be written as (g^3)^2.
Step 2: Take out any perfect square factors from under the square root (√) symbol.
In this case, 6 is a perfect square, so √(6 * 6 * g^3 * g^3) can be simplified as 6 * √(g^3 * g^3).
Step 3: Simplify the expression inside the square root.
Since g^3 * g^3 is g^(3+3), which simplifies to g^6, the expression becomes 6 * √g^6.
Step 4: Simplify further if possible.
√g^6 is equal to g^(6/2), which simplifies to g^3. Therefore, the simplified radical expression is 6g^3.
Hence, the simplified form of √(36g^6) is 6g^3.