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harkovskaia [24]
3 years ago
8

Find the square root of 3.6 upto 2 decimal places. *With Solution I need*

Mathematics
1 answer:
almond37 [142]3 years ago
7 0

Answer:

The square root is 1.90

Step-by-step explanation:

Given

x = \sqrt{3.6}

Required

Find x

Express 3.6 as 36/10

So, we have:

x = \frac{\sqrt{36}}{\sqrt{10}}

This gives

x = \frac{6}{\sqrt{10}}

Rationalize

x = \frac{6}{\sqrt{10}}*\frac{\sqrt{10}}{\sqrt{10}}

x = \frac{6\sqrt{10}}{10}

Using a calculator

\sqrt{10} \approx 3.16

So, we have:

x = \frac{6*3.16}{10}

x = \frac{18.96}{10}

x = 1.896

Approximate

x = 1.90

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