sqrt3x^5y^14
To simplify:
sqrt(3 x^5 y^14)
The square root of x^4 is x^2.
The square root of y^14 is y^7.
Can you determine what to do now with those hints?
I hope this will help.
To simplify the expression sqrt(3 x^5 y^14), you can break it down by simplifying each term within the square root separately.
1. Start with x^5. Since the square root of x^4 is x^2, you can rewrite x^5 as x^4 * x. Therefore, sqrt(x^5) can be simplified to x^2 * sqrt(x).
2. Next, simplify y^14. The square root of y^14 is y^7 because the square root of y^2 is y. So, sqrt(y^14) can be expressed as y^7.
After simplifying each term, the expression becomes sqrt(3x^2y^7).