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Rationalise the denominator of 1/(4 + sqrt(3))

This denominator is irrational because it contains a surd. To rationalise the denominator we multiply the numerator and denominator by the conjugate of the denominator. In this case, the conjugate of the den...
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Answered by Giles M. • Maths tutor
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A linear sequence starts a + 2b, a + 6b ,a + 10b ,…….. ,…….. The 2nd term has value 8. The 5th term has value 44. Work out the values of a and b

To start with, we need to notice the difference between each of the terms in the sequence. As this is a linear sequence, the sequence increases or decreases by the same amount between each term. In this ques...
CI
Answered by Charlotte I. • Maths tutor
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Why does cystic fibrosis increase the risk of lung infections?

Cystic fibrosis is a genetic disorder of the CFTR protein, which alters the salt and water balance in the body fluids. Specifically in the lungs, this causes the mucous in the airways to retain less water, m...
MK
Answered by Mahum K. • Biology tutor
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What are the core tenets of British Conservatism?

Law and order- Traditional conservatives have a highly negative view of human nature, theorists such as Hobbes argued that the government was needed to act as a Leviathan, in this case meaning a strong centr...
KA
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Expand and simplify 3(m+4)-2(4m+1)

The first step is to expand out the brackets, we can do this more simply by splitting the equation into two parts. In order to expand the first half of the equation, 3(m+4), you must times both m and 4 by th...
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Answered by Kwabena A. • Maths tutor
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