Simplifying Radicals

Front

What is a radical in mathematics?

Back

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

Front

How do you simplify a square root?

Back

To simplify a square root, factor the number under the radical into its prime factors and look for pairs of factors.

Front

What is the simplified form of √36?

Back

6, because 36 is a perfect square.

Front

What is the simplified form of √50?

Back

5√2, because 50 can be factored into 25 and 2.

Front

How do you simplify √a^2?

Back

The simplified form is 'a', assuming a is non-negative.

Front

What is the product property of square roots?

Back

The product property states that √(a*b) = √a * √b.

Front

What is the quotient property of square roots?

Back

The quotient property states that √(a/b) = √a / √b, provided b is not zero.

Front

How do you simplify 5√80?

Back

5√80 simplifies to 20√5.

Front

What is the simplified form of √18?

Back

3√2, because 18 can be factored into 9 and 2.

Front

What is the simplified form of √125?

Back

5√5, because 125 can be factored into 25 and 5.