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How do you simplify a surd?

If you have a surd, for example root27, in order to simplify it you need to find factors of it which are square numbers. Multiplying surds is like regular multiplication, for example, root27 = root9 x root3 ...
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Answered by Annabel H. • Maths tutor
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Determine for what values of c, f(x)=4x^2-(2c+8)x+4 has no real roots.

For f(x) not to have any real roots, its discriminant, b 2 -4ac < 0. Plugging in the coefficients from f(x), this means (-(2c+8)) 2 -4x4x4 < 0.This means (-(2c+8)) 2 < 4x4x4So 4c 2 +32c+64 < 64 b...
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Answered by Alexander R. • Maths tutor
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The sides of a rectangle are x and (x+2), where x>0 the area of the rectangle is 8, what is the value of x?

X*(X+2) = 8X 2 + 2X = 8X 2 +2x-8=0 S 2P -8N 4, -2(X+4)(X-2)X=-4 X=2X can only be positive in this case so X=2
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Answered by George G. • Maths tutor
3286 Views

If a ball is dropped from 6m above the ground, how long does it take to hit the floor and what is its speed at impact (assuming air resistance is negligible)?

Distance, s = 6m ; initial speed, u = 0 m/s ; final speed, v = v m/s ; acceleration, a = 9.8 m/s (g) ; time, t = t sTime:s = ut + 0.5at 2 , 6 = 0 + (0.5 x 9.8)t 2 , 6 = 4.9t 2 , 1.8367 = t 2 , t = 1.355 s Sp...
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Answered by Rebecca R. • Maths tutor
5061 Views

Given ∫4x^3+4e^2x+k intergrated between the bounds of 3 and 0 equals 2(46+e^6). Find k.

Sorry I couldn't write the question properly in the question box. The question should read:Given ∫ 3 0 4x 3 +4e 2x +k dx = 2(46+e 6 )Find K.Step 1- Intergrate ∫ 3 0 4x 3 +4e 2x +k x 4 +2e 2x +kx+cStep 2- Sub...
CM
Answered by Charlie M. • Maths tutor
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