Simplify 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 radical expression?

Back

To simplify a radical expression, factor the number under the radical into its prime factors and look for pairs of factors to take out of the radical.

Front

What is the square root of 25?

Back

5

Front

What is the square root of 36?

Back

6

Front

What is the process to simplify √a*b?

Back

You can simplify √a*b by separating it into √a * √b, if both a and b are non-negative.

Front

What is the simplified form of √(x^2)?

Back

x, assuming x is non-negative.

Front

What is the square root of a product?

Back

The square root of a product is the product of the square roots of the factors, i.e., √(a*b) = √a * √b.

Front

What is the square root of 1?

Back

1

Front

How do you simplify √(a^2 * b)?

Back

You can simplify it to a√b, assuming a is non-negative.

Front

What is the square root of 64?

Back

8