How do you simplify the square root of 150 over 5?

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Answer 1 · 2016-02-10T22:01:38

$sqrt(6)" or "sqrt(30)" "$ depending on what you meant in the question!

Depends on what you meant!

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Suppose you meant: $sqrt(150)/5$

$sqrt(150)/5" "=" "sqrt(150/5^2)$

$=sqrt(6)$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Suppose you meant: $sqrt(150/5)$

$=sqrt(30)$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Just as a demonstration of the way you can 'play' with expressions:

$sqrt(30)" "=" "sqrt(3^2 (3+1/3))" "=" "3sqrt(3 1/3)$

Because: $" "3^2=9" so we have "9(3+1/3)=27+3=30$