Question

What is 3 × 5√6 in surd form​

Answer 1

It is already in surd form.

Explanation:

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According to Mathematics GCSE , surds are numbers left in 'square root form' (or 'cube root form' etc). They are therefore irrational numbers. The reason we leave them as surds is because in decimal form they would go on forever and so this is a very clumsy way of writing them.

Therefore, to write 3 × 5√6 in surd form, we simply need to multiply 3 and 5 together and leave √6 as it is. The answer is:

3 × 5√6 = 15√6

This is the simplest surd form of the expression. We cannot simplify √6 any further because it is not a perfect square. We could write it as a decimal approximation, such as 15 × 2.449..., but this would be less accurate and less elegant than the surd form.

Answer 2

Let's break this down step-by-step:

3 x 5 = 15

sqrt(6) = 2 (square root of 6 is 2)

So, 3 x 5√6 = 15 x 2

= 30

In surd form, 30 = 3√10

Therefore, 3 × 5√6 in surd form is:

3√10