SOLUTION: I am having a hard time solving this problem. The {{{sqrt(x^3) = 8}}}. Thanks for your time.

Algebra.Com
Question 51437: I am having a hard time solving this problem.
The .
Thanks for your time.
Found 2 solutions by rchill, vanetiks:
Answer by rchill(405)   (Show Source): You can put this solution on YOUR website!
If the square root of something is 8, that means the something must be 64 because 8*8=64. The something in this case is , which means . That means we need to find the cube root of 64; i.e., some number multiplied by itself three times is equal to 64. To do that:
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=4.
  • Graphical form: simplifies to
  • Text form: x^3=64 simplifies to +x^2+4*x+16=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( x^3=64 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved these terms to the left highlight_green%28+-64+%29
It becomes .
Look at .
Divided polynomial on the left by known factors (x-(4))
It becomes .
Result:
This is an equation! Solutions: x=4.

Universal Simplifier and Solver


Done!
Answer by vanetiks(6)   (Show Source): You can put this solution on YOUR website!
sqrt(x3) = 8
sqrt(x) = 4
x = 4
RELATED QUESTIONS

I am having a hard time solving ^3 the cube root of x^2 = 4. How do I solve this... (answered by THANApHD)
-8(x+2)+3x+6=7v+8 I am having a hard time solving this... (answered by jim_thompson5910)
I am having a hard time solving this problem: |5r|+10=15 Can you help? Thanks (answered by Earlsdon)
I am having a problem solving this problem: Is the square root of x^2 =x an identity... (answered by THANApHD)
Simplify. {{{sqrt(12)/sqrt(3)}}} I am having a really hard time with this problem and... (answered by chitra)
I am having a hard time solving a/-2 =... (answered by texttutoring)
Rationalize the denominator and simplify. sqrt(6)/4sqrt(3) + sqrt(2) I am having a (answered by rapaljer)
Solve. X^2 = -6x. I am having a hard time with this problem and need some help.... (answered by stargrl12566)
Can I also have help with this one... solve for x and y for x-y=4 and x+y=4 I am... (answered by navytutor)