Simplifying Radicals

Front

What is a radical in mathematics?

Back

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

Tags

CCSS.8.NS.A.1

Front

How do you simplify √a * √b?

Back

√a * √b = √(a * b) for non-negative a and b.

Front

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

Back

The simplified form is |a|, which is the absolute value of a.

Front

What is the process of simplifying radicals?

Back

The process involves factoring the number under the radical into perfect squares and simplifying.

Front

What is the simplified form of √(36)?

Back

The simplified form is 6.

Front

How do you simplify √(x^2 * y)?

Back

The simplified form is x√y, assuming x is non-negative.

Tags

CCSS.HSN.RN.A.2

Front

What is the value of k in the expression 5√20 = k√5?

Back

k = 10.

Front

What is the simplified form of √(50)?

Back

The simplified form is 5√2.

Front

How do you combine like radicals?

Back

You can combine like radicals by adding or subtracting their coefficients.

Front

What is the simplified form of √(12) + √(27)?

Back

The simplified form is 3√3 + 2√3 = 5√3.