Question

31 De maneira semelhante aos números naturais,
podemos calcular a raiz quadrada de decimais.
Veja:
Como 1,5% = 2,25, então V2,25 = 1,5.
Da mesma maneira, como 0,42 = 0,16, então
10,16 = 0,4
ar
Usando essa ideia, calcule:
a) 0,36
b) 0,81
c) 169 =
d) 2,56 =​

Answer 1

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⠀⠀☞ Calculamos as seguintes raizes quadradas: a) 0,6; b) 0,9; c) 1,3; d) 1,6. ✅

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⠀⠀Para encontrar a raiz quadrada de cada um dos decimais da lista vamos antes convertê-los para sua forma racional:

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a) 0,36

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$\LARGE\blue{\text{ \sf \sqrt{0,36} = \sqrt{\dfrac{36}{100}} }}$

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$\LARGE\blue{\text{ \sf = \sqrt{\dfrac{6^2}{10^2}} }}$

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$\LARGE\blue{\sf = \dfrac{6}{10}}$

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$\huge\green{\boxed{\rm~~~\gray{\sqrt{0,36}}~\pink{=}~\blue{ 0,6 }~~~}}$ ✅

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b) 0,81

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$\LARGE\blue{\text{ \sf \sqrt{0,81} = \sqrt{\dfrac{81}{100}} }}$

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$\LARGE\blue{\text{ \sf = \sqrt{\dfrac{9^2}{10^2}} }}$

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$\LARGE\blue{\sf = \dfrac{9}{10}}$

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$\huge\green{\boxed{\rm~~~\gray{\sqrt{0,81}}~\pink{=}~\blue{ 0,9 }~~~}}$ ✅

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c) 1,69

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$\LARGE\blue{\text{ \sf \sqrt{1,69} = \sqrt{\dfrac{169}{100}} }}$

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$\LARGE\blue{\text{ \sf = \sqrt{\dfrac{13^2}{10^2}} }}$

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$\LARGE\blue{\sf = \dfrac{13}{10}}$

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$\huge\green{\boxed{\rm~~~\gray{\sqrt{1,69}}~\pink{=}~\blue{ 1,3 }~~~}}$ ✅

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d) 2,56

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$\LARGE\blue{\text{ \sf \sqrt{2,56} = \sqrt{\dfrac{256}{100}} }}$

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$\LARGE\blue{\text{ \sf = \sqrt{\dfrac{16^2}{10^2}} }}$

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$\LARGE\blue{\sf = \dfrac{16}{10}}$

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$\huge\green{\boxed{\rm~~~\gray{\sqrt{2,56}}~\pink{=}~\blue{ 1,6 }~~~}}$ ✅

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$\bf\large\red{\underline{\quad\quad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}$

⠀⠀☀️ Leia mais sobre raiz quadrada:

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✈ https://brainly.com.br/tarefa/37925263

$\bf\large\red{\underline{\quad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\bf\large\red{\underline{\quad\quad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}$☁

⠀⠀⠀⠀☕ $\Large\blue{\text{\bf Bons~estudos.}}$

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($\orange{D\acute{u}vidas\ nos\ coment\acute{a}rios}$) ☄

$\bf\large\red{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \quad }}\LaTeX$✍

❄☃ $\sf(\purple{+}~\red{cores}~\blue{com}~\pink{o}~\orange{App}~\green{Brainly})$ ☘☀

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$\gray{"Absque~sudore~et~labore~nullum~opus~perfectum~est."}$

Answer 2

Resposta:

Explicação passo-a-passo: