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Jaclyn estimates that the square root of 50 in the following way:


\sqrt{50 =
2 \sqrt{25 = 2 * 5 = 10

Explain why her reasoning is incorrect. Please use complete sentences.

1 Answer

5 votes


\sf\purple{The\: square\: root \:of \:50\: is\: 5√2.}


\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}

Error made by Jaclyn


√(50)


\sf\red{=\:2√25}

Correct way to solve it


√(50) \\ \\ = √(5 * 5 * 2) \\ \\ = \sqrt{ {5}^(2) * 2} \\ \\ = \sqrt{ {5}^(2) } * √(2) \\ \\ = 5 √(2) \\ \\ (∵ \sqrt{ {a}^(2) } = a)


\bold{ \green{ \star{ \orange{Mystique35}}}}⋆

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