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

Question

1541 views around the world

You can reuse this answer
Creative Commons License

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#