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How do I prove that an irrational number is indeed irrational?

[NOTE: An irreducible fraction (or fraction in lowest terms) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1.]Given th...

Answered by Liam D. • Maths tutor

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How do I rationalise the denominator of a fraction which consists of surds?

[Recall: the numerator of a fraction is the top number; the denominator refers to the bottom number. A surd is an irrational number, e.g. √3, √5, etc.]Given the following fraction:...

Answered by Liam D. • Maths tutor

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Given that y = x^4 + x^(1/3) + 3, find dy/dx

We use the rule that if y = x^n then dy/dx = n*x^(n-1) which is valid whether or not n is an integer.

We also use that differentiation is a linear operation, which means that we can diff...

Answered by Karan S. • Maths tutor

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What is the cosine rule?

What is it?The cosine rule is a tool to find the size of an angle or the length of a side in a triangle.When to use it?- When we are given 2 sides and an angle- When we a...

Answered by Naomi G. • Maths tutor

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