## Puzzle #125: Test Your Creativity

Here is a wonderful small teaser I got from the site brilliant.org. I have seen at least two solutions to this puzzle, so try your creativity, there might be more.

Look at the equation

# 1     4      9   =   16

Add any mathematical operators in the above equation to balance the two sides, with the following exceptions:

1. Cannot use “not equal to” sign
2. Cannot use any operator that requires you to use a digit

As always, please send your answers as comments within the blog (preferred), or send an e-mail to alokgoyal_2001@yahoo.com. Please do share the puzzle with others if you like, and please also send puzzles that you have come across that you think I can share in this blog.

Happy New Year!

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### 20 Responses to Puzzle #125: Test Your Creativity

1. Anant Aggarwal says:

Couldn’t resist when I saw this on LinkedIn and instantly thought of a possible answer!
4! + 1 – 9 = 16
Happy New Year!

-1+√4+√9=√16

Here’s another one
-1+√4+√9=√16

4. Alok Goyal says:

Very creative though technically not allowed

Sent from Yahoo Mail on Android

5. Prakhar says:

Alok – I looked at 16 as 8*2 and 4*4 and thus came up with two ways of representing the LHS as these. Solution one will be (9-1)*(4)^0.5 solution 2 will be 4*(1+(9)^0.5).

• Alok Goyal says:

Prakhar, the order of the digits cannot be changed

6. Prakhar says:

Alok – two solutions which I thought of were (9-1)*4^0.5 and 4*(1+9^0.5)

7. Prakhar says:

Alok – another solution might be

4 – ((9)^0.5 – 1 ) = 16^0.25

8. Rahul Rane says:

1 + 4! – 9 = 16

9. Arunabh says:

-1 – 4^3 + 9^2 = 16

• Alok Goyal says:

Arunabh, you have used operators that require additional numerals and hence this will not work

• alok goyal says:

-1-4+9=root16
-5+9=4

10. alok goyal says:

(1+4)squ-9=16 alok goyal………..aloknmh@gmail.com
25-9=16

11. alok goyal says:

(1+4)square-9=16
25-9=16

• Alok Goyal says:

this one does not work as you need to use “power of 2” which will require you to use a numeral

12. alok goyal says:

-1-4+9=root 16
-5+9=4

13. 1+4!-9=16

14. Gautam Kumar says:

This works if you consider << as an operator.

1<<4%9 = 16

• Alok Goyal says:

I did not understand this one, what does << do?

• Suman says:

shifts bits to the right in some programming languages 🙂