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

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

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

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Slightly different solution	lalisa12	2024-11-30 05:30:24
Slightly different solution	Jer	2024-11-28 10:11:26
Solution	Larry	2024-11-28 09:33:28

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