The third answer option is correct. sqrt(x) = x^(1/2). So sqrt(121) = 121^(1/2).
Answer: No
Step-by-step explanation: To determine whether 5/3 is rational or irrational, it's important to understand that all fractions positive or negative are rational numbers.
So 5/3 is not an irrational number, it's rational.
Answer:
D. x=4
Step-by-step explanation:
We can solve this with the Pythagorean Theorem for the right triangle that we can see (which is half of the triangle).
The bottom length is 3 and the hypotenuse is 5.
The Pythagorean Theorem is a²+b²=c².
We can plug this in:
3²+x²=5²
9+x²=25
x²=16
x=4
The rule for expressing a radical as a rational exponent is as follows:
![\sqrt[n]{x^y} = x^ \frac{y}{n}](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7Bx%5Ey%7D%20%3D%20x%5E%20%5Cfrac%7By%7D%7Bn%7D%20)
So, to find
![\sqrt[3]{27x^2y^3z^4}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B27x%5E2y%5E3z%5E4%7D%20%20)
use that rule.
The cube root of 27 is 3, so the equation will start with 3.
Hope that helps!
Perpendicular: -4
Parallel: 1/4
