Simplifying Radicals

Front

What is a radical in mathematics?

Back

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

Front

What does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, removing any perfect square factors.

Front

What is the square root of 9?

Back

3

Front

How do you simplify √24?

Back

√24 = √(4*6) = 2√6.

Front

What is the simplified form of √72?

Back

√72 = √(36*2) = 6√2.

Front

What is the simplified form of √80?

Back

√80 = √(16*5) = 4√5.

Front

What is the simplified form of √150?

Back

√150 = √(25*6) = 5√6.

Front

What is the product of √a and √b?

Back

√a * √b = √(a*b).

Front

What is the sum of √a and √a?

Back

√a + √a = 2√a.

Front

What is the difference between √a and √b?

Back

√a - √b cannot be simplified unless a = b.