Question Number 165511 by MathsFan last updated on 02/Feb/22
$$\:\boldsymbol{{how}}\:\boldsymbol{{do}}\:\boldsymbol{{i}}\:\boldsymbol{{find}}\:\boldsymbol{{an}}\:\boldsymbol{{irrational}} \\ $$$$\boldsymbol{{number}}\:\boldsymbol{{between}}\:\:\mathrm{0}.\mathrm{124}\:\:\boldsymbol{{and}} \\ $$$$\mathrm{0}.\mathrm{125} \\ $$
Commented by Rasheed.Sindhi last updated on 02/Feb/22
$${Particularly}\:{in}\:{this}\:{case}: \\ $$$$\sqrt{\mathrm{0}.\mathrm{124}×\mathrm{0}.\mathrm{125}} \\ $$
Commented by mr W last updated on 03/Feb/22
$${for}\:{example} \\ $$$$\frac{{a}+{b}}{\mathrm{2}}\pm\frac{\left({a}−{b}\right)}{\mathrm{2}\sqrt{\mathrm{2}}} \\ $$$$\frac{{a}+{b}}{\mathrm{2}}\pm\frac{\left({a}−{b}\right)}{\mathrm{2}\sqrt{\mathrm{3}}} \\ $$$$\frac{{a}+{b}}{\mathrm{2}}\pm\frac{\left({a}−{b}\right)}{\mathrm{2}\sqrt{\mathrm{5}}} \\ $$$$….. \\ $$$${with}\:{a},{b}\:={rational}\:{numbers} \\ $$
Commented by MathsFan last updated on 03/Feb/22
$${thank}\:{you} \\ $$
Commented by MathsFan last updated on 03/Feb/22
$${thank}\:{you}\:{sir} \\ $$