Question

7) Find

(i) 10^1/4

(ii)$\frac{7}{9}$
correct upto to decimal places.

Answer 1

Dear Student,


$$\begin{gathered} i){10}^{\frac{1}{4}} \\ =\sqrt{\sqrt{10}} \\ =\sqrt{3.162} \\ =1.79 \\ ii)\frac{7}{9} \\ 0.707 \\ 9\overline{)\overline{7}} \\ \underline{\overline{)0}} \\ 9\overline{)70} \\ \overline{)\underline{63}} \\ 9\overline{)70} \\ \overline{)}63 \\ aswecanseethedigitskeeponrepeating \\ Hence\frac{7}{9}=0.707070707 \\ limitingto2decimalplacesweget \\ \frac{7}{9}=0.71 \end{gathered}$$
Regards,