Question

Please solve these questions
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Answer 1

Question:

$1. \: 10 + 6 \sqrt{3}$

$2. \: 38 \sqrt{14} + 100 \sqrt{2}$

To find:

To find the value of above two expressions.

Answer:

$\bigstar \sf \pink{ \bold{20.392}}$

$\bigstar \sf \red{ \bold{283.558}}$

Step-by-step explanation:

$1. \: 10 + 6 \sqrt{3}$

$\implies10 + 6(1.732)$

$\implies10 + 10.392$

$\implies \boxed{20.392}$

$2. \: 38 \sqrt{14} + 100 \sqrt{2}$

$\implies38(3.741) + 100(1.414)$

$\implies 142.158 + 141.4$

$\implies \boxed{283.558}$

The value of,

$✷ \: \sqrt{3} \: is \: 1.732$

$✷ \: \sqrt{14} \: is \: 3.741$

$✷ \: \sqrt{2} \: is \: 1.414$

⚠️Note⚠️

You can memorize the values , or you can do it by long division method.

Answer 2

Answer:

$i)10 + 6 \sqrt{3} \\ 10 + 6(1.73) \\ 10 + 10.38 \\ 20.38$

$Now \: \sqrt[3]{20.38} = 2.73150119$

$ii) \: 38 \sqrt{14} + 100 \sqrt{2} \\ 38(3.741) + 100(1.414) \\ 142.158 + 141.4 \\ 283.558$

$Now \: \sqrt[3]{238.558} = 6.20199381$

Hope you understand it

Thank you