Question

find cube root of 1331 and 10648 by prime factorization method step by step​

Answer 1

Question:-

Find the cube root of the following by prime factorisation method:-

• 1331
• 10684

Answer:-

• Cube root of 1331

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{11}}}& \underline{\sf{\:\:1331\:\:}}\\ {\underline{\sf{11}}}& \underline{\sf{\:\:121\:\:}}\\ {\underline{\sf{11}}}& \underline{\sf{\:\:11\:\:}}\\\underline{\sf{}}&{\sf{\:\:1 \:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}\end{gathered}$

$\sqrt[3]{\underline{11 \times 11 \times 11}} = 11$

Cube root of ³√1331 is 11

• Cube root of 10648

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{2}}}&{\underline{\sf{\:\:10648 \:\:}}}\\ {\underline{\sf{2}}}& \underline{\sf{\:\:5324 \:\:}} \\\underline{\sf{2}}&\underline{\sf{\:\:2662\:\:}} \\ {\underline{\sf{11}}}& \underline{\sf{\:\:1331 \:\:}} \\ {\underline{\sf{11}}}& \underline{\sf{\:\:121\:\:}}\\ {\underline{\sf{11}}}& \underline{\sf{\:\:11\:\:}}\\ \underline{\sf{}}&{\sf{\:\:1 \:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}\end{gathered}$

$\sqrt[3]{ \underline{2 \times 2 \times 2 }\times \underline{ 11 \times 11 \times 11}}$

The cube root of ³√10648 is 11 × 2 is 22

Hope it's helpful! :D