Question

extrageți rădăcina pătrată: a) ✓0,32(1); b) ✓0,58(7)​

Answer 1

Răspuns:

Explicație pas cu pas:

a)0,32(1)=(321-32)/900=289/900

√0,32(1)=√289/900=17/30

b) 0,58(7)=(587-58)/900=529/900

√0,58(7)=√529/900=23/30

Answer 2

 

$\displaystyle\bf\\\sqrt{0,\!32(1)}=\sqrt{\frac{321-32}{900}}=\sqrt{\frac{289}{900}}=\sqrt{\frac{17^2}{30^2}}=\sqrt{\left(\frac{17}{30}\right)^2}=\boxed{\bf\frac{17}{30}}\\\\\\\sqrt{0,\!58(7)}=\sqrt{\frac{587-58}{900}}=\sqrt{\frac{529}{900}}=\sqrt{\frac{23^2}{30^2}}=\sqrt{\left(\frac{23}{30}\right)^2}=\boxed{\bf\frac{23}{30}}$