Ask Uncle Colin: fourth roots | Colin

Ask Uncle Colin is a chance to ask your burning, possibly embarrassing, maths questions — and to show off your skills at coming up with clever acronyms. Send your questions to colin@flyingcoloursmaths.co.uk and Uncle Colin will do what he can.

Dear Uncle Colin,

How would you find $\sqrt[4]{923521}$ without a calculator?

— Some Quite Recherché Technique

Hi, SQRT!

I have a few possible techniques here. The first is “do some clever stuff with logarithms”, the second is “do some clever stuff with known squares” and the last is “do some clever stuff with calculus.”

Without a…

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