Is there a way to solve it other than by calculation

This topic has expert replies
Source: — Problem Solving |

User avatar
Legendary Member
Posts: 519
Joined: Sat Jan 27, 2007 7:56 am
Location: India
Thanked: 31 times

by Neo2000 » Sun Nov 11, 2007 7:24 am
Root4 = 2

Fourth Root of 4 = Fourth Root of (2quare) = Fourth Root of ((Root2)Squared)) = Root2 = 1.414

Now if Fourth Root of 4 itself is Greater than 1 then Cube Root of 4 will also be greater than 1

Which means the entire sum at the very least has to be greater than 4

Master | Next Rank: 500 Posts
Posts: 460
Joined: Sun Mar 25, 2007 7:42 am
Thanked: 27 times

by samirpandeyit62 » Sun Nov 11, 2007 9:21 am
rt (4) =2

cube root of 4 > cube root of 1 i. e 1

fourth root of 4 (4^1/4) > 1^1/4 i.e 1

so total should be grater than 4
Regards
Samir

Master | Next Rank: 500 Posts
Posts: 416
Joined: Wed Oct 03, 2007 9:08 am
Thanked: 10 times
Followed by:1 members

by gmatrant » Sun Nov 11, 2007 6:27 pm
Ill have to blame myself for this mistake... thanks samir and Neo, feel I missed an easy one..