What do you do to check whether a number is rational or irrational?
How does finding the square root of a number compare to finding the cube root of a number? Use the number 64 in your explanation.
Can someone please help me with these questions?!
Lesson 4: Roots as Solutions to Equations, Cube Roots
1.D
2.B
3.A
4.B
5.C
6.B
7.C
8.C
100%
If you're taking square roots, the number must be a perfect square to give a rational root.
64 = 8^2, so √64 = 8 is rational
Similarly, since
64 = 4^3, ∛64 = 4 is rational.
For small numbers, it's easy to check for possible roots, as there aren't that many candidates. In general, it's much more difficult.
For the 2nd question:
Square is number which we get after multiply a number x to itself where as cube is a number which we get after multiplying a number x to itself three times. To find the square root or cube root of any number just right it using prime factorization method .