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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......

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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

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