सोल्यूशन - भिन्न किंवा संख्येचे वर्गमूळ उत्पन्न करणे

मूळ गुणकांचे लेखन करा:

$$\sqrt{33554432}=\sqrt{2·2·2·2·2·2·2·2·2·2·2·2·2·2·2·2·2·2·2·2·2·2·2·2·2}$$

मूळ गुणकांना जोडी म्हणून गट्टी करा आणि त्यांना घटक रूपात पुन्हा लिहा:

$$\sqrt{2·2·2·2·2·2·2·2·2·2·2·2·2·2·2·2·2·2·2·2·2·2·2·2·2}=\sqrt{2^2·2^2·2^2·2^2·2^2·2^2·2^2·2^2·2^2·2^2·2^2·2^2·2}$$

पुढे अधिक सोपे करण्यासाठी $$\sqrt{\left(x^2\right)}=x$$ हे नियम वापरा:

$$\sqrt{2^2·2^2·2^2·2^2·2^2·2^2·2^2·2^2·2^2·2^2·2^2·2^2·2}=2·2·2·2·2·2·2·2·2·2·2·2·\sqrt{2}$$

डावीकडून उजवीकडे कोणतीही गुणाकार किंवा विभागणी करा:

$$2·2·2·2·2·2·2·2·2·2·2·2·\sqrt{2}=4·2·2·2·2·2·2·2·2·2·2·\sqrt{2}$$

$$4·2·2·2·2·2·2·2·2·2·2·\sqrt{2}=8·2·2·2·2·2·2·2·2·2·\sqrt{2}$$

$$8·2·2·2·2·2·2·2·2·2·\sqrt{2}=16·2·2·2·2·2·2·2·2·\sqrt{2}$$

$$16·2·2·2·2·2·2·2·2·\sqrt{2}=32·2·2·2·2·2·2·2·\sqrt{2}$$

$$32·2·2·2·2·2·2·2·\sqrt{2}=64·2·2·2·2·2·2·\sqrt{2}$$

$$64·2·2·2·2·2·2·\sqrt{2}=128·2·2·2·2·2·\sqrt{2}$$

$$128·2·2·2·2·2·\sqrt{2}=256·2·2·2·2·\sqrt{2}$$

$$256·2·2·2·2·\sqrt{2}=512·2·2·2·\sqrt{2}$$

$$512·2·2·2·\sqrt{2}=1024·2·2·\sqrt{2}$$

$$1024·2·2·\sqrt{2}=2048·2·\sqrt{2}$$

$$2048·2·\sqrt{2}=4096·\sqrt{2}$$