## How do you rationalize the denominator 3 5?

Explanation: Multiply the numerator and denominator by √5 . Simplify.

**How do you rationalize a denominator example?**

Example 1: Rationalize the denominator \large{{5 \over {\sqrt 2 }}}. Simplify further, if needed. The denominator contains a radical expression, the square root of 2. Eliminate the radical at the bottom by multiplying by itself which is \sqrt 2 since \sqrt 2 \cdot \sqrt 2 = \sqrt 4 = 2 .

**Why do we rationalize denominators?**

We rationalize the denominator to ensure that it becomes easier to perform any calculation on the rational number. When we rationalize the denominator in a fraction, then we are eliminating any radical expressions such as square roots and cube roots from the denominator.

### Why do we rationalize the denominator?

**How do you rationalize 3?**

Explanation:

- √3.
- Rationalize the denominator by multiplying the numerator and denominator by √3 .
- √3 ← answer.

**What is the denominator of 3 upon 5?**

We have to express -3/5 with denominator 20.

## What is rationalize denominator?

Rationalizing the denominator means the process of moving a root, for instance, a cube root or a square root from the bottom of a fraction (denominator) to the top of the fraction (numerator). This way, we bring the fraction to its simplest form thereby, the denominator becomes rational. Irrational Denominator.

**How do you Rationalise?**

Rationalizing a Cube Root

- Step1. Examine the fraction – The fraction has a radical in the form of a cube root in the denominator.
- Step2. Multiply the numerator and denominator of the fraction by a factor that makes the exponent of the denominator 1.
- Step3. Simplify the expression as needed.

**How do you rationalize a denominator?**

To rationalize a denominator, multiply the fraction by a “clever” form of 1–that is, by a fraction whose numerator and denominator are both equal to the square root in the denominator.

### What does it mean to rationalize denominator?

Rationalize the Denominator. “Rationalizing the denominator” is when we move a root (like a square root or cube root) from the bottom of a fraction to the top.

**What does rationalize mean in math?**

rationalization – (mathematics) the simplification of an expression or equation by eliminating radicals without changing the value of the expression or the roots of the equation. rationalisation.

**What is the conjugate of the denominator?**

When the first type of binomial occurs in the denominator of a fractions, conjugates are used to rationalize the denominator . The conjugate of a + b is a − b , and the conjugate of a + b i is a − b i .