Category: Arithmetic

Question Number 176847 by Ar Brandon last updated on 27/Sep/22 $$\mathrm{If}x,y\in \mathbb{Z}$$$$23!=2^x{5}^{y}k$$$$\mathrm{and}k\mathrm{is}\mathrm{an}\mathrm{even}\mathrm{number},\mathrm{then}\mathrm{what}\mathrm{is}$$$$\max (x+y)?$$ Answered by BaliramKumar last…

Question Number 176839 by Ar Brandon last updated on 27/Sep/22 $$\mathrm{If}a=2+\sqrt{15}\mathrm{Express}$$$$\sqrt[3]{\sqrt{15}+\frac{196}{54}}\mathrm{in}\mathrm{terms}\mathrm{of}a$$ Answered by Rasheed.Sindhi last updated on 27/Sep/22 $$\mathrm{If}a=2+\sqrt{15}\mathrm{Express}$$$$\:\sqrt[{\mathrm{3}}]{\sqrt{\mathrm{15}}+\frac{\mathrm{196}}{\mathrm{54}}}\:\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:{a}…

Question Number 45720 by Tawa1 last updated on 15/Oct/18 $$\underset{\mathbf{r}=1}{\mathbf{\sum }^{\mathbf{n}}}{(\mathbf{r}+1)}^3$$ Commented by math khazana by abdo last updated on 15/Oct/18 $$=\sum_{{k}=\mathrm{2}}…

Question Number 45712 by malwaan last updated on 15/Oct/18 $$\mathrm{prove}\mathrm{that}:$$$$\sqrt{2}\mathrm{is}\mathrm{irrationl}\mathrm{number}$$ Commented by maxmathsup by imad last updated on 15/Oct/18 $${let}\:{suppose}\:\sqrt{\mathrm{2}}=\frac{{p}}{{q}}\:{with}\:{p}\:{and}\:{q}\:{integrsn}\:{natural}\:{and}\:\Delta\left({p},{q}\right)=\mathrm{1}\:\Rightarrow \…

Question Number 111218 by Lekhraj last updated on 02/Sep/20 Answered by nimnim last updated on 02/Sep/20 $$831199$$$$831199$$$$+831199$$$$\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}$$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{2}\:\:\:\:\:\mathrm{4}\:\:\:\:\:\mathrm{9}\:\:\:\:\:\mathrm{3}\:\:\:\:\:\mathrm{5}\:\:\:\:\mathrm{9}\:\:\:\:\:\mathrm{7}…