SOLUTION: find the square root of the cube root of one hundred twenty five billion.

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Question 849167: find the square root of the cube root of one hundred twenty five billion.
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
find the square root of the cube root of one hundred twenty five billion.
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That's the 6th root of 125 billion
root%286%2C125000000000%29
= sqrt%285000%29
= sqrt%282500%2A2%29
= 50%2Asqrt%282%29
You can use a calculator to get an approximation from there.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28root%283%2C125000000000%29%29

sqrt%28root%283%2C125%2A10%5E9%29%29

sqrt%28root%283%2C125%29%2Aroot%283%2C10%5E9%29%29

sqrt%28root%283%2C5%5E3%29%2Aroot%283%2C10%5E9%29%29

sqrt%285%2A10%5E%289%2F3%29%5E%22%22%29

sqrt%285%2A10%5E3%29

sqrt%2810%5E2%2A5%2A10%29

sqrt%2810%5E2%2A50%29

sqrt%2810%5E2%2A25%2A2%29

sqrt%2810%5E2%2A5%5E2%2A2%29

sqrt%28%2810%2A5%29%5E2%2A2%29

sqrt%2850%5E2%2A2%29

sqrt%2850%5E2%29%2Asqrt%282%29

50%2Asqrt%282%29

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So, sqrt%28root%283%2C125000000000%29%29+=+50%2Asqrt%282%29

Using a calculator, we see that \sqrt{\sqrt[3]{125,000,000,000}} \approx 70.7106781186548 (since )