SOLUTION: Okay guys I think I got this but want to check with someone of "authority". Simplify the following equations as much as possible: 10 + sqrt(16 - 9) / (4 / 2)^3 = (10 + &#873

Algebra ->  Expressions -> SOLUTION: Okay guys I think I got this but want to check with someone of "authority". Simplify the following equations as much as possible: 10 + sqrt(16 - 9) / (4 / 2)^3 = (10 + &#873      Log On


   



Question 49533: Okay guys I think I got this but want to check with someone of "authority".
Simplify the following equations as much as possible:
10 + sqrt(16 - 9) / (4 / 2)^3
= (10 + √7) / 8
= 12.65 / 8
= 1.58
Thanks!!
Andrea

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
you don't have brackets around 10 + sqrt(16 - 9) so i do not know if the denominator of 8 is under everything, as you wrote or just the radical part... that is for you to clarify to yourself.

If it is everything, then +%2810%2Bsqrt%287%29%29%2F8+ is correct. Do not evaluate it...the question asks you to simplify NOT evaluate. Your answer is incorrect in that it is a rounded up version of a never ending decimal. That is why we write radicals... they are the EXACT number.

What we could do is:
+%2810%2Bsqrt%287%29%29%2F8+
+%2810%2F8%29%2B%28sqrt%287%29%29%2F8+
+%285%2F4%29%2B%28sqrt%287%29%29%2F8+

but this is questionably NOT simpler than +%2810%2Bsqrt%287%29%29%2F8+... so leave it alone as +%2810%2Bsqrt%287%29%29%2F8+ as your answer.

jon.