Radical Operations

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 the expression √a × √b?

Back

The expression simplifies to √(a × b).

Front

What is the result of √(a^2)?

Back

The result is |a|, the absolute value of a.

Front

How do you add or subtract radical expressions?

Back

You can only add or subtract radical expressions that have the same radicand (the number under the radical).

Front

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

Back

The simplified form is |x|.

Front

What is the product of √a and √b when a and b are positive?

Back

The product is √(a × b).

Front

How do you simplify the expression 2√5 - √5?

Back

The expression simplifies to √5.

Front

What is the result of √(x) × √(x)?

Back

The result is x.

Front

What is the simplified form of √(50)?

Back

The simplified form is 5√2.

Front

How do you combine like terms in radical expressions?

Back

You combine like terms by adding or subtracting the coefficients of the radicals that have the same radicand.