What is the square root of 300 rounded to the nearest tenth?

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22-05-2018
Mathematics

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What is the square root of 300 rounded to the nearest tenth?

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gmany gmany · Answer 1 · 2018-05-26T00:12:17+02:00

gmany gmany

26-05-2018

[tex]17 < \sqrt{300} < 18\ becouse\ 17^2=289 < 300 < 324=18^2[/tex]

[tex]17.3^2= 299.29 < 300\\\\17.4^2=302.76 > 300[/tex]

[tex]17.3 < \sqrt{300} < 17.4[/tex]

[tex]\sqrt{300}\ \text{is closer to 17.3. Therefore}\ \sqrt{300}\approx17.3[/tex]

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