How do you simplify 5√153√27?

1 Answer
Tony B
Mar 11, 2016

Same thing. Just a very slightly different presentation!

5√59

Explanation:

The answer given was stopped at 5√53√9

'~~~~~~~~~~~~~~~~ Something to think about! ~~~~~~~~~~~

It is considered better mathematical practice if you 'get rid' of any roots that are in the denominator (bottom number)

The method is based on: Multiply any number by 1 and you do not change its inherent value

So 5√53√9×1 does not change its value

Suppose we wrote 1 as √9√9

This is still 1

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Back to solving the question

Multiply by 1 but in the form of √9√9 giving

5√53√9×√9√9 = 5√5√93√9√9

5√5√93×9

But √9=3 giving:

5×3×√53×9 = 33×5√59

But 33=1 giving:

5√59

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