Question

Find the square root of :

(i) 64 (ii) 343 (iii) 729

(iv) 1728 (v) 9261 (vi) 4096

(vii) 8000 (viii) 3375

Answer 1

(i) $64=\sqrt[3]{364}=(2\times 2\times 2)\times (2\times 2\times 2)=2\times 2=4$

(ii) $343=\sqrt[3]{3343}=7\times 7\times 7\times =7$

(iiii) $729=\sqrt[3]{3729}=(3\times 3\times 3)\times (3\times 3\times 3)=3\times 3=9$

(iv) $1728=\sqrt[3]{31728}=(2\times 2\times 2)\times (2\times 2\times 2)\times (3\times 3\times 3)=2\times 2\times 3=12$

(v) $9261=\sqrt[3]{39261}=(3\times 3\times 3)\times (7\times 7\times 7)=3\times 7=21$

(vi) $4096=\sqrt[3]{34096}=(2\times 2\times 2)\times (2\times 2\times 2)\times (2\times 2\times 2)\times (2\times 2\times 2)=2\times 2\times 2\times 2=16$

(vii) $8000=\sqrt[3]{38000}=(4\times 4\times 4)\times (5\times 5\times 5)=4\times 5=20$

(viii) $3375=\sqrt[3]{33375}=(5\times 5\times 5)\times (3\times 3\times 3)=5\times 3=15$