Question

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

Answer 1

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

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

Error made by Jaclyn ⤵

$\sqrt{50}$

$\sf\red{=\:2√25}$ ❌

Correct way to solve it ⤵

$\sqrt{50} \\ \\ = \sqrt{5 \times 5 \times 2} \\ \\ = \sqrt{ {5}^{2} \times 2} \\ \\ = \sqrt{ {5}^{2} } \times \sqrt{2} \\ \\ = 5 \sqrt{2} \\ \\ (∵ \sqrt{ {a}^{2} } = a)$

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