Category: Arithmetic

Question Number 66287 by Tony Lin last updated on 12/Aug/19 $${10}^{{10}^{{10}^{.{\cdot }^{.10}}}}=?$$ Answered by MJS last updated on 12/Aug/19 $$+\infty…

Question Number 66173 by Tony Lin last updated on 10/Aug/19 $$x^{x^{x{\cdot }^{{.}^{.x}}}}=2$$$$x=?$$ Answered by mr W last updated…

Question Number 582 by ssahoo last updated on 31/Jan/15 $$\mathrm{Show}\mathrm{that}$$$$\sqrt{5+\sqrt{21}}+\sqrt{8+\sqrt{55}}=\sqrt{7+\sqrt{33}}+\sqrt{6+\sqrt{35}}$$ Commented by prakash jain last updated on 31/Jan/15 $$\sqrt{5+\sqrt{21}}=a+b$$$${a}^{\mathrm{2}}…

Question Number 131525 by mathlove last updated on 05/Feb/21 $$if(a-b)(a+b)=23$$$$thenfainda\cdot b=?$$ Answered by mr W last updated on 05/Feb/21 $$nouniquesolutionfora,b\in R.$$$${for}\:{a},{b}\in{Z}:…