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Scrat [10]
3 years ago
6

Plot √2 and √3 on the number line.

Mathematics
2 answers:
frutty [35]3 years ago
8 0

Answer:

The statements (1), (2), (4) and (6) are true.

Step-by-step explanation:

Consider the diagram below for the number line.

  • The first statement is: \sqrt{2}

From the number line it is clear that the above statement is true.

  • The second statement is: \sqrt{2}

From the number line it is clear that the above statement is true.

  • The third statement is: \sqrt{2}>1.5

The value of √2 is 1.414. This value is less than 1.5.

So, the above statement is false.

  • The fourth statement is: \sqrt{3}

From the number line it is clear that the above statement is true.

  • The fifth statement is: \sqrt{2}=\sqrt{3}-0.5

The value of √3 is 1.732. The difference between √2 and √3 is, 0.318.

Thus, the above statement is false.

  • The sixth statement is: \sqrt{3}=\sqrt{2}+0.3

The value of √3 is 1.732. The difference between √2 and √3 is, 0.318.

Implying, √3 = √2 + 0.318.

⇒√3 = √2 + 0.3

Thus, the above statement is true.

VMariaS [17]3 years ago
8 0

1,2,4,6 are the correct options.

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