Simplify the Radical

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

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 64?

Back

8

Front

How do you simplify √128?

Back

√128 = √(64 * 2) = √64 * √2 = 8√2.

Front

What is the square root of 200?

Back

10√2

Front

What is the prime factorization of 128?

Back

128 = 2^7.

Front

What is the prime factorization of 200?

Back

200 = 2^3 * 5^2.

Front

What is the simplified form of √50?

Back

√50 = √(25 * 2) = 5√2.

Front

What is the simplified form of √72?

Back

√72 = √(36 * 2) = 6√2.

Front

What is the simplified form of √18?

Back

√18 = √(9 * 2) = 3√2.