Unit 6: Flashcardziz #1 - Simplifying Radicals

Front

What is a radical in mathematics?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛). It represents the inverse operation of exponentiation.

Front

How do you simplify a radical expression?

Back

To simplify a radical expression, factor the number under the radical into its prime factors, then pair the factors to take them out of the radical.

Front

What is the square root of 24 in simplest radical form?

Back

The square root of 24 simplifies to 2√6.

Front

What is the product property of radicals?

Back

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

Front

What is the quotient property of radicals?

Back

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

Front

How do you simplify the expression 2√24?

Back

2√24 simplifies to 4√6.

Front

Back

Front

How do you simplify the expression -5√75?

Back

-5√75 simplifies to -25√3.

Front

What is the power of a power property in exponents?

Back

The power of a power property states that (a^m)^n = a^(m*n).

Front

How do you simplify the expression (x^(1/5))^3?

Back

The expression simplifies to x^(3/5).