SOLUTION: I need help with this question. True or false? The expression {{{5sqrt(18) }}} is written in simplest radical form.

Algebra.Com
Question 294405: I need help with this question.
True or false? The expression is written in simplest radical form.

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
True or false? The expression is written in simplest radical form.


False.  That is not in simplest radical form because
18 can be written as the perfect square 9 times 2.



Take individual square roots of the factors under the radical:



And the square root of 9 is 3, so



and finally



That is the simplest radical form.

Edwin

RELATED QUESTIONS

True or false: The expression 5sqrt. 18 is written in simplest radical form. (answered by Edwin McCravy)
Please help me express this in it's simplest radical form. {{{ 3sqrt ( 2 ) +5sqrt ( 2... (answered by Alan3354)
Question: write each radical expression in simplified radical form. Square root of... (answered by Earlsdon)
I am trying to answer the below question and I believe the answer is false. √120... (answered by solver91311,josgarithmetic)
I am trying to answer the below question and I believe the answer is false. √120 (answered by josgarithmetic)
Could someone please help me with this True or False question, and please explain why it... (answered by Alan3354)
Please help me with this question: Write √8b^3 in simplest radical form.... (answered by ankor@dixie-net.com)
PLEASE HELP 3 2/3 written as a radical in simplest form is??????... (answered by stanbon)
This is a question that must be solved by completing the square. The solution must be... (answered by Earlsdon)