morrisar morrisar
  • 04-05-2022
  • Mathematics
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which point best represents \sqrt{10}

which point best represents sqrt10 class=

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semsee45
semsee45 semsee45
  • 04-05-2022

Answer:

Point Q

Step-by-step explanation:

Find the perfect squares that are either side of 10.

Perfect squares:  1, 4, 9, 16, 25, ....

Therefore, 10 is between 9 and 16.

[tex]\implies \sqrt{9} < \sqrt{10} < \sqrt{16}[/tex]

[tex]\implies 3 < \sqrt{10} < 4[/tex]

So √10 is between 3 and 4.

As 10 is closer to 9 than it is to 16, √10 is closer to √9 than √16, which means that √10 is closer to 3.

Therefore, point Q best represents √10

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