Operations with Square Roots

Front

What is the sum of 2√5 and 4√5?

Back

6√5

Front

What is the sum of √98 and 5√2?

Back

12√2

Front

What is the sum of √18 and √2?

Back

4√2

Front

What is the sum of √300 and √75?

Back

15√3

Front

What is the product of √5 and √10?

Back

5√2

Front

What is the definition of a square root?

Back

A square root of a number x is a number y such that y² = x.

Front

What is the property of square roots that states √a × √b = √(a × b)?

Back

This is known as the Product Property of Square Roots.

Front

What is the property of square roots that states √a + √b cannot be simplified if a and b are not perfect squares?

Back

This is known as the Sum of Square Roots Property.

Front

How do you simplify √(a²)?

Back

√(a²) = a, where a is a non-negative number.

Front

What is the simplified form of √50?

Back

5√2