Monomial Square Roots

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables.

Front

What is the square root of a number?

Back

The square root of a number x is a value y such that y² = x. It represents a number that, when multiplied by itself, gives the original number.

Front

How do you simplify square roots of non-perfect squares?

Back

To simplify square roots of non-perfect squares, factor the number into its prime factors, pair the factors, and take one factor out of the square root for each pair.

Front

What is the simplified form of √a²?

Back

The simplified form of √a² is |a|, which represents the absolute value of a.

Front

What is the simplified form of √(xy)?

Back

The simplified form of √(xy) is √x * √y, provided x and y are non-negative.

Front

How do you simplify √(m²n³)?

Back

To simplify √(m²n³), you take m out of the square root as m and simplify n³ as n√n, resulting in m * n√n.

Front

What is the square root of 72?

Back

The square root of 72 simplifies to 6√2.

Front

What is the square root of 275?

Back

The square root of 275 simplifies to 5√11.

Front

What is the simplified form of √140?

Back

The simplified form of √140 is 2√35.

Front

What is the product of square roots?

Back

The product of square roots states that √a * √b = √(ab), where a and b are non-negative.