What is (18)^1/2 -(8)^1/2 simplified?

In order to answer this we will break down the two surds into their factors. So we know that 18 is 2 multiplied by 9 and so (18)^1/2=(92)^1/2 which cane be broken down into (9)^1/2(2)^1/2 .We know that (9)^1/2=3 and so (18)^1/2=((2)^1/2)3For (8)^1/2 we have that 8=42 and so by the same method as above we have (8)^1/2=(4)^1/2*(2)^1/2=2(2)^1/2So (18)^1/2-(8)^1/2=3(2)^1/2-2(2)^1/2=(2)^1/2

HM

Related Maths GCSE answers

All answers ▸

Show that the lines y=3x+7 and 2y-6x=8 are parallel (not using a graphical method).


Find the minimum value of the quadratic 3x^2-8x+1.


There are some people in a cinema. 3/5 of the people in the cinema are children. For the children in the cinema, number of girls:number of boys = 2:7. There are 170 girls in the cinema. Work out the number of adults in the cinema.


solve: x^2= 4(x-3)^2