Knowee
Questions
Features
Study Tools

Rationalise the denominator of the following expression. That is, find an equivalent expression that does not have a square root in the denominator.Tip: Remember it can often be useful to multiply a fraction by 1. Why do we choose to multiply by 4−6‾√4−6‾√?14+6‾√=

Question

Rationalise the denominator of the following expression. That is, find an equivalent expression that does not have a square root in the denominator.Tip: Remember it can often be useful to multiply a fraction by 1. Why do we choose to multiply by 4−6‾√4−6‾√?14+6‾√=

🧐 Not the exact question you are looking for?Go ask a question

Solution

The expression you provided seems to be incomplete or incorrectly formatted. However, I'll provide a general method to rationalize the denominator of a fraction with a square root.

Let's say we have a fraction like this: a / (b + √c)

To rationalize the denominator, we multiply the numerator and the denominator by the conjugate of the denominator. The conjugate of (b + √c) is (b - √c).

So, we multiply the fraction by (b - √c) / (b - √c), which is essentially 1.

(a / (b + √c)) * ((b - √c) / (b - √c))

This gives us:

(a * (b - √c)) / (b² - c)

Now, the denominator is a rational number.

This problem has been solved

Similar Questions

Rationalise the denominator of the following expression. That is, find an equivalent expression that does not have a square root in the denominator.Tip: Remember it can often be useful to multiply a fraction by 1. Why do we choose to multiply by 5−6‾√5−6‾√?15+6‾√=15+6‾√×5−6‾√5−6‾√=

Rationalise the denominator of the following expression. That is, find an equivalent expression that does not have a square root in the denominator. Give your answer in it's simplest form.14+6‾√=

Rationalise the denominator of the following expression. That is, find an equivalent expression that does not have a square root in the denominator.To do this, multiply the expression by 2√2√.32‾√=32‾√×2‾√2‾√=

Rationalise the denominator of the following expression. That is, find an equivalent expression that does not have a square root in the denominator.55‾√=

Rationalise the denominator of this expression and then simplify:14−6‾√=

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.