# Square Root of 72 Cubed?

What is the square root of 72 cubed?

Seems like a trick question, and that answer should be 72 (72 to the third power plus 72 to the -2 power = 72). But when I use the online calculator, I get 72 cubed as 373248, and the square root of that is 610.940258......

### Comments for Square Root of 72 Cubed?

 Apr 24, 2011 Square Root of 72 Cubed by: Staff The question: What is the square root of 72 cubed? Seems like a trick question, and that answer should be 72 (72 to the third power plus 72 to the -2 power = 72). But when I use the online calculator, I get 72 cubed as 373248, and the square root of that is 610.940258...... The answer: The answer of 610.940258 is correct By doing the problem in stages, you calculated the correct answer: 72^3 = 373,248 sqrt(373248) = 610.940259 The power of ½ is equivalent to square root The power of 3 means cubed the square root of 72 cubed = (72^3)^(1/2) (the exponents of 3 and ½ are multiplied together: 3 * (1/2) = 3/2) = 72^(3/2) Enter this expression into the Google as: 72^(3/2) Or (72^3)^(1 / 2) The Google answer is the same as your answer: = 610.940259 Thanks for writing. Staff www.solving-math-problems.com