SOLUTION: Simplify. 3√1000 I have gotten the answer 333.3. Is that right?

Algebra.Com
Question 371971: Simplify. 3√1000
I have gotten the answer 333.3. Is that right?
Found 2 solutions by Fombitz, jsmallt9:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
No,
You're looking for the cube root of .
What number multiplied by itself three times equals .



because,
Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!

Simplify does not mean find a decimal approximation. Simplifying an expression with a square root means reduce the square root, if possible. Reducing a square root is done by finding perfect square factors, if any, of the radicand (the expression within the radical). So we are looking for perfect square factors of 1000. I hope it is easy to see that 100 is a perfect square and it is a factor of 1000:

Next we use a property of radicals, , to separate the perfect square factor into its own square root:

The square root of 100 is 10 so now we have:

or

There are no other perfect square factors of 10 (other than 1) so this simplified version of . (BTW, the decimal approximation for this is 94.8683298050513800)
RELATED QUESTIONS

simplify... (answered by asuar010)
Hi I need to ask a very important question, this is what my professor said about the... (answered by mananth,jim_thompson5910)
Rationalize the denominator of the expression. Assume that all variables are postive when (answered by rapaljer)
3x-3/3x I have gotten the answer x-0/x. My question is: Do I keep the -0 or does it... (answered by Alan3354)
How do i try and work out a polynomial? The question i have gotten is which one of... (answered by rothauserc)
Simplify the following: 3(the square root of 75) I have gotten two answers and I have (answered by malglu)
I have three questions. 1. Simplify [√(32xy^7)/(√2xy)] I think it is... (answered by stanbon)
I need to estimate, and then evaluate the expression 3(1-sqrt3)\6 the answer should be... (answered by stanbon)
Can some please help me to simplify (3^3/3)^2 I tried but think I have the wrong answer... (answered by nerdybill)