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‾√=
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.
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‾√=
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.