Question

2✓18 multiply 5✓6 expand and find the answer
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Answer 1

Answer:

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Answer 2

Answer: 60✓3

Step-by-step explanation:

2✓18 x 5✓6

= 2 x 5 x ✓18 x ✓6

= 10 x ✓108

= 10 x ✓2 x 2 x 3 x 3 x 3             (Prime factors of 108)

= 10 x 2 x 3 x ✓3    

= 60✓3          

✓2 x 2 x 3 x 3 x 3  =  2 x 3 x ✓3   because  ✓2 x 2 x 3 x 3 x 3  =  ✓2 x ✓2 x ✓3 x ✓3 x ✓3 and any root number multiplied by itself is equal to the number it is the root of. For example, ✓2 x ✓2 = 2.

So we have:

(✓2 x ✓2) x (✓3 x ✓3) x ✓3

= 2 x 3 x ✓3

= 6✓3