Question

$find \: \sqrt{3.1428} \: and\sqrt{0.31428}$
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Answer 1

Step-by-step explanation:

$\sqrt{ \frac{31428}{10000} } = \sqrt{ \frac{2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 97}{10 \times 10 \times 10 \times 10} }$

$\frac{2 \times 3 \times 3}{100} \sqrt{97}$

$\frac{18}{100} \sqrt{97}$

$0.18 \sqrt{97}$

0.18*9.848

1.77264 approx. .... is the answer

$\sqrt{ \frac{31428}{100000} } = \sqrt{ \frac{2 \times 3 \times 2 \times 3 \times 3 \times 3 \times 97}{10 \times 10 \times 10 \times 10 \times 10} }$

$\frac{2 \times 3 \times 3}{100} \sqrt{ \frac{97}{10} }$

$\frac{18}{100} \sqrt{9.7}$

0.18* 3.1144

0.560592 approx . is the answer

${\boxed{\mathcal\red{\fcolorbox{blue}{yellow}{Answer 1) 1.77264 and 2) 0.560592\:}}}}$

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