Equations with square and cube roots

Front

What is a square root?

Back

A square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4, because 4 x 4 = 16.

Front

What is a cube root?

Back

A cube root of a number is a value that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3, because 3 x 3 x 3 = 27.

Front

Solve for y: 4y² = 5.76

Back

y = ±1.2

Front

Solve for r: 4r³ = 32

Back

r = 2

Front

Solve for y: y² = 64

Back

y = ±8

Front

Solve for x: x² = 16

Back

x = ±4

Front

What is the formula for the area of a circle?

Back

The formula for the area of a circle is A = πr², where A is the area and r is the radius.

Front

If the area of a circle is 700 square feet, how do you find the radius?

Back

Use the formula A = πr². Rearranging gives r = √(A/π). For A = 700, r ≈ 14.9 feet.

Front

What does the symbol '±' mean in mathematics?

Back

The symbol '±' indicates that there are two possible values: one positive and one negative.

Front

What is the relationship between squaring a number and taking its square root?

Back

Squaring a number and taking its square root are inverse operations. If x² = a, then √a = x.