take the square root problem square root 196x^12 show the step please thanks
√196x^12 = 14x^6
Showing how this works:
√(14 * 14)(x^6 * x^6)
Remember your rules for exponents.
To find the square root of 196x^12, we can break it down into two parts: the square root of 196 and the square root of x^12.
1. Square root of 196:
- Since 196 is a perfect square, we can directly take its square root.
√196 = 14
2. Square root of x^12:
- To simplify the square root of x^12, we can rewrite it as the square root of (x^6)^2.
- By applying the property of exponents, we can bring the exponent of 2 down, resulting in x^6.
√(x^12) = x^6
Combining the results:
The square root of 196x^12 is equal to 14x^6.