perplexus.info :: Just Math : 2011 Square Start

2011 Square Start (Posted on 2011-09-16)

Determine the smallest perfect square whose base ten representation begins with 2011 (reading left to right). How about the smallest positive perfect cube whose base ten representation begins with 2011 (reading left to right)?

*** Calculators are allowed, but no computer programs.

Submitted by K Sengupta

Rating: 5.0000 (2 votes)

Solution: (Hide)

(i) 4485^2=20115225.
(ii) 5859^3 = 2011270548
For an explanation, refer to the solution submitted by Charlie in this location.

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

Subject	Author	Date
re(2): solution	broll	2011-09-17 02:07:20
re: solution	Dej Mar	2011-09-16 17:49:18
solution	Charlie	2011-09-16 13:48:37
A method	Jer	2011-09-16 12:45:25
Square solution	Math Man	2011-09-16 10:30:23

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