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Surds are irrational numbers, (numbers which cannot be expressed as fractions), and normally shown as a number instead a square root, but the number itself isn't a square. For example root 3 is a surd, wh...

Begin by expanding the brackets of the LHS:3(6x + 2) = 18x + 6 3 * 6x = 18 x and 3 *2 = 6The equation now reads:18x + 6 = 10 + 4xSubtract 4x from both sides14x + 6 = 10Subtract 6 from...

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You can separate any surd into factors of the number that is being square rooted, for example when you have a surd such as √ 12 it can be rewritten as √ 2 X √ 6 or √ 3 X √ 4. This is very useful when we w...

The phenomenon you're describing is called 'Pythagoras theorem'. Let's go through it together. You have a right angled triangle, with the hypothesis and one side given. The pythagoras theorem gives you a ...