fatima2011ksa
fatima2011ksa fatima2011ksa
  • 07-05-2021
  • Mathematics
contestada

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

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 12-05-2021

Answer:

The square root is 1.90

Step-by-step explanation:

Given

[tex]x = \sqrt{3.6}[/tex]

Required

Find x

Express 3.6 as 36/10

So, we have:

[tex]x = \frac{\sqrt{36}}{\sqrt{10}}[/tex]

This gives

[tex]x = \frac{6}{\sqrt{10}}[/tex]

Rationalize

[tex]x = \frac{6}{\sqrt{10}}*\frac{\sqrt{10}}{\sqrt{10}}[/tex]

[tex]x = \frac{6\sqrt{10}}{10}[/tex]

Using a calculator

[tex]\sqrt{10} \approx 3.16[/tex]

So, we have:

[tex]x = \frac{6*3.16}{10}[/tex]

[tex]x = \frac{18.96}{10}[/tex]

[tex]x = 1.896[/tex]

Approximate

[tex]x = 1.90[/tex]

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