Question

math problem cube root question​

Answer 1

Question:

To find the cube root of 8000

Solution:

We have to do prime factorization method for finding factors of 8000

$\Large{ \begin{array}{c|c} \tt 2 & \sf{ 8000} \\ \cline{1-2} \tt 2 & \sf { 4000} \\ \cline{1-2} \tt 2 & \sf{ 2000} \\ \cline{1-2} \tt 2 & \sf{ 1000} \\ \cline{1-2} \tt 2& \sf{ 500}\\ \cline{1-2} \tt 2 & \sf{ 250 }\\ \cline{1-2} \tt 5 & \sf{ 125} \\ \cline{1-2} \tt 5 & \sf{25 } \\ \cline{1-2} \tt 5 & \sf{5 }\\ \cline{1-2} & \sf{ 1} \end{array}}$

$8000 = 2\times2\times2\times2\times2\times2\times5\times5\times5\\\\\\8000= (2\times2\times2)\times (2\times2\times2)\times (5\times5\times5)\\\\\\\sqrt{8000} = (2\times2\times5)\\\\\\\sqrt{8000} = (4\times5)\\\\\\\sqrt{8000} = 20\\\\\\\boxed{\sqrt{8000} = 20\\\\\\}$

Answer :

Cube root of 8000 is 20

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