Question

Solve without calculator.
$\frac{1100\sqrt{3} }{21}$

Answer 1

1100√3/21

as u said without calculator

then first divide 1100 by 21 as it will not terminating nor repeating so u can take approx value

1100÷21 is 52.38(approx)

now u have to learn value of underroot of 2 and 3

3 has underroot 1.73

so your answer

52.38×1.73

=90.61(approx)

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Answer 2

     

$\frac{1100\sqrt{3}}{21} \\ \\ = \frac{(1000+100)\sqrt{3}}{21} \\ \\ = \frac{1000\sqrt{3}+100\sqrt{3}}{21} \\ \\ \approx \frac{1000 \times 1.732+100 \times 1.732}{21} \\ \\ \approx \frac{1732+173.2}{21} \\ \\ \approx \frac{1905.2}{21} \\ \\ \approx \frac{19052}{210} \\ \\ \approx \bold{90.72}$

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