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. For example, √4 represents the square root of 4.

Tags

CCSS.8.NS.A.1

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 from under the radical sign.

Front

What is the square root of 25?

Back

5

Tags

CCSS.8.EE.A.2

Front

How do you simplify √50?

Back

√50 can be simplified to 5√2 because 50 = 25 * 2 and √25 = 5.

Front

What is the difference between a perfect square and a non-perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer (e.g., 1, 4, 9, 16). A non-perfect square cannot be expressed this way (e.g., 2, 3, 5).

Front

What is the simplified form of √72?

Back

√72 simplifies to 6√2 because 72 = 36 * 2 and √36 = 6.

Front

What is the product property of square roots?

Back

The product property states that √a * √b = √(a*b) for any non-negative numbers a and b.

Tags

CCSS.8.EE.A.1

Front

What is the quotient property of square roots?

Back

The quotient property states that √(a/b) = √a / √b for any non-negative numbers a and b, where b ≠ 0.

Tags

CCSS.HSN.RN.A.2

Front

How do you simplify the expression √(x^2)?

Back

√(x^2) simplifies to |x|, which is the absolute value of x.

Front

What is the simplified form of √(12x^2)?

Back

√(12x^2) simplifies to 2x√3.