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Express (5-√ 8)(1+√ (2)) in the form a+b√2 , where a and b are integers

5 + 5√ 2 - √ 8 - √ 16    (Break up all terms in terms of square roots of 2)

5 + 5√ 2 - √ 8 - 4

5 + 5√ 2 - 2 √ 2 - 4 

1 + 3√2

IM
Answered by Ignacio M. Maths tutor
10231 Views

A rectangle has a shorter side with a length of x and a longer side with a length of x + 8, the perimeter of the rectangle is 80cm. Calculate the value of x.

For this question, one would sum the algebraic lengths of the rectangle, creating a result of 4x + 16.

This is the algebraic perimeter of the rectangle which must be equated to the numerical value ...

BS
Answered by Ben S. Maths tutor
3140 Views

Can you explain Westphal's views on the development of philosophical thought in 'The emergence of mdoern philosophy'?

In Westphal’s paper, ‘The emergence of modern philosophy of religion’, it is evident that he is focusing on the move from philosophy of theology to that of religion. Whilst the first is god talk, being fa...

MW
2928 Views

'Germany experienced a period of political calm, international security, and social and cultural progress in the mid-1920s'. How far do you agree with the judgement?

'Germany did experience a period of political calm, international security, and social and cultural progress, but only in a relative sense. The years prior and after this period of calm were far more host...

JD
Answered by Joe D. History tutor
3082 Views

Translate the following sentence: Caesar barbaros trans flumen oppugnavit

First thing is to find the nominative, which in this case is Caesar. Then the main verb which is oppugnavit. You should identify the tense and person of the verb, here it is past tense and 3rd person sing...

AH
Answered by Alex H. Latin tutor
1980 Views

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