Radicals

Front

What is a radical in mathematics?

Back

A radical is a symbol used to indicate the root of a number, most commonly the square root or cube root.

Front

What is the square root of a number?

Back

The square root of a number is a value that, when multiplied by itself, gives the original number.

Front

What is the cube root of a number?

Back

The cube root of a number is a value that, when multiplied by itself three times, gives the original number.

Front

What is the relationship between squares and square roots?

Back

The square root of a number is the inverse operation of squaring that number.

Front

How do you simplify a radical expression?

Back

To simplify a radical expression, factor the number under the radical into its prime factors and look for pairs (for square roots) or triplets (for cube roots) to simplify.

Front

What is the value of √324?

Back

The value of √324 is 18.

Front

What two numbers does the cube root of 50 fall between?

Back

The cube root of 50 falls between 3 and 4.

Front

If x² = 324, what are the possible values of x?

Back

The possible values of x are +18 and -18.

Front

How do you find the area of a square?

Back

The area of a square is found by squaring the length of one of its sides (Area = side²).

Front

If a square patio has an area of 576 square units, what is the length of one side?

Back

The length of one side is 24 units.