Question

If y is the square root of x, then x is ____.

Given y = 3
a) 3
b) 6
c) 8
d) 9

If y is the cube root of x, then x is ____.
Given y = 3
a) 3
b) 6
c) 9
d) 27

If y is the square root of x, then x is ____.
Given y = 1.6
a) 0.4
b) 1.2649…
c) 2.0238…
d) 2.56

If y is the square root of x, then x is ____.
Given y = 0.9
a) 0.3
b) 0.9486…
c) 0.81
d) 8.1

Answer 1

To find the square of a number, you square it; to find the cube, you raise it to the third power. For y as the square root of x; y=3 means x=9, y=1.6 means x=2.56, and y=0.9 means x=0.81. For y as the cube root of x; y=3 means x=27.

Step-by-step explanation:

When dealing with square and cube roots in relation to a given number, the mathematical operations are relatively straightforward. To calculate the square of a number (y) we square it (y * y = x), and to calculate the cube of a number we raise it to the third power (y * y * y = x).

• If y is the square root of x and given y = 3, then x should be y squared, which is 3 * 3, hence x is 9 (d).
• If y is the cube root of x and given y = 3, then x is y cubed, which is 3 * 3 * 3, hence x is 27 (d).
• If y is the square root of x and given y = 1.6, then x is y squared, resulting in 1.6 * 1.6, hence x is 2.56 (d).
• If y is the square root of x and given y = 0.9, then x is y squared, so the result is 0.9 * 0.9, hence x is 0.81 (c).