DIVIDING 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 (∛).

Front

How do you simplify a radical expression?

Back

To simplify a radical expression, factor the number under the radical into its prime factors and look for pairs (for square roots) or triplets (for cube roots) to simplify.

Front

What does it mean to divide radicals?

Back

Dividing radicals involves simplifying the expression by dividing the numbers and the radicals separately.

Front

What is the process of rationalizing the denominator?

Back

Rationalizing the denominator means to eliminate any radicals in the denominator of a fraction by multiplying the numerator and denominator by a suitable radical.

Front

How do you simplify √(a*b)?

Back

√(a*b) = √a * √b, provided a and b are non-negative.

Front

What is the result of dividing √12 by √3?

Back

√12 / √3 = √(12/3) = √4 = 2.

Front

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

Back

The simplified form of √(x^2) is |x|.

Front

How do you simplify 12√90?

Back

12√90 = 12√(9*10) = 12*3√10 = 36√10.

Front

What is the simplified form of (4√3)/3?

Back

(4√3)/3 is already in its simplest form.

Front

What is the value of √(25/9)?

Back

√(25/9) = √25 / √9 = 5/3.