Question

2√18 x 3

Answer 1

Is your question

\( 2 \sqrt{18} \times 3\)

Or is it

\( 2\sqrt{18 \times 3}\)

Answer 2

the first one

Answer 3

Okay, first step

what is 2 * 3 =

Answer 4

6

Answer 5

Good so that means

\( 2 \sqrt{18} \times 3 = 2\times \sqrt{18} \times 3\)

\( = 6\sqrt{18}\)

Does that make sense so far?

Answer 6

yes

Answer 7

Now how would you simplify sqrt(18)

What is 18 =

can you list a few numbers that can multiply to become 18?

We want to choose the pair of numbers that has a perfect square like 1, 4, 9, etc

Answer 8

perfect=9, non perfect=2

Answer 9

exactly so

\(\sqrt{18} = \sqrt{9 \times 2}\)

and you should know this rule

\(\sqrt{a\times b} = \sqrt{a} \times \sqrt{b}\)

so what can you simplify \(\sqrt{18}\) to?

Answer 10

3√2

Answer 11

Exactly and now remember that we had \(6 \sqrt{18}\)

So that becomes \( 6 \times 3 \sqrt{2}\)

What is 6 * 3 =