Rationalise the surd: 2/root(x)
To rationalise a surd means to manipulate a fraction involving terms which are being square rooted so that no term in the denominator is being square rooted. For this example 2/root(x) we multiply the fraction by root(x)/root(x). We can do this because something divided by itself is equal to 1, and you can multiply anything by 1 without changing its value.To do this we start with the numerator. 2 multiplied by root(x) which is equal to 2(root(x). Then we do the same with the denominator. root(x) multiplied by root(x) which is just equal to x. This is because the square root of something, squared cancels out the square root. Therefore:2/root(x) x root(x)/root(x) = 2(root(x)/xWith 2(root(x)/x being the rationalised answer.
DT
Related Maths A Level answers
All answers ▸The volume, V, of water in a tank at time t seconds is given by V = 1/3*t^6 - 2*t^4 + 3*t^2, for t=>0. (i) Find dV/dt
What is integration by parts?
Differentiate y = (3x^2 + 1)^2
A small stone is projected vertically upwards from a point O with a speed of 19.6m/s. Modelling the stone as a particle moving freely under gravity, find the length of time for which the stone is more than 14.7 m above O