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.

Question

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.

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 ⤵

`√(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}}}}⋆`