Operations with Radicals

Front

What is a radical?

Back

A radical is a symbol that represents the root of a number, most commonly the square root.

Front

How do you simplify √a + √a?

Back

You combine like terms to get 2√a.

Front

What is the product of √a and √b?

Back

The product is √(a*b).

Front

How do you simplify √(a^2)?

Back

The simplification is |a|, which is the absolute value of a.

Front

What is the sum of √18 and √2?

Back

The sum simplifies to 4√2.

Front

How do you simplify √(a/b)?

Back

You can simplify it to √a / √b.

Front

What is the value of √(49)?

Back

The value is 7.

Front

How do you simplify 4√3 / √2?

Back

The simplification is 2√6.

Front

What is the value of √(x^2) when x = -5?

Back

The value is 5, since we take the absolute value.

Front

How do you combine √98 and 5√2?

Back

You simplify √98 to 7√2, then combine to get 12√2.