perplexus.info :: Numbers : A Sixth Root Quickie

A Sixth Root Quickie (Posted on 2024-11-28)

Without using a calculator, determine the positive integer value of x that satisfy this equation:

x⁶ = 244140625

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Slightly different solution

| Comment 2 of 3 |

Knowing some powers helps

2^6=64

3^6=729

20^6=64,000,000 < x^6=244,140,625 < 729,000,000=30^6

x^6 ends in 5 therefore x=25

Posted by Jer on 2024-11-28 10:11:26

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