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Show that sqrt(27) + sqrt(192) = a*sqrt(b), where a and b are prime numbers to be determined

We want to get the the sqrt(27) and sqrt(192) so that they have the same number in the square so they can then be added together. We will look at the factorisation of 27, 192. We can see 27 is divisible b...

Answered by Luke H. Maths tutor
2693 Views

Solve the equation, x + 1 = x/2 + 4

The answer should always end with x = …, so we need to rearrange and simplify the equation to solve this.First write out the full equation: x + 1 = x/2 + 4Multiply everything by 2 to remove the fraction: ...

Answered by Cheyanne J. Maths tutor
2230 Views

What is the integral of ln x dx

as ln x is not a standard integral given in the formula booklet, but it’s derivative is a standard derivative, you can split ln x into 1 times ln x. This allows you to use the integral product rule method...

Answered by Alex L. Maths tutor
5324 Views

Find the roots of x^3 + 4x^2 - 5x

X=0,-5,1

Answered by Jack W. Maths tutor
2277 Views

A fair sided spinner has five equal sections numbered 1 to 5, a fair six sided dice has five red faces and one green face. what is the probability of getting an even number and the colour green

The probability on the spinner for each section is 0.2 or written a 2 in 5 ( 1 divided by 5 as it has equal sections)
The probability for landing the green side of the dice is 1 in 6
In order ...

Answered by Elaine C. Maths tutor
8186 Views

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