Step: 1

An integer should not have a decimal part. So, the integer nearest to 3 8 will be the square root of the perfect square nearest to 38.

Step: 2

The perfect square that is nearest to 38 is 36.

Step: 3

So, the integer which is nearest to 3 8 is 3 6 = 6.

Correct Answer is : 6

Step: 1

10 is not a perfect square as 1 0 does not result in an integer value.

Step: 2

The integer nearest to 1 0 is the square root of the perfect square nearest to 10.

[An integer must not have a decimal part.]

Step: 3

The perfect square, which is nearest to 10 is 9.

[9 = 3, which is an integer.]

Step: 4

So, the integer nearest to 1 0 is 9 = 3

Correct Answer is : 3

Step: 1

79 lies between the perfect squares, 64 and 81.

Step: 2

From the above number line, - 7 9 is nearer to - 8 1 than to - 6 4 .

Step: 3

So, - 7 9 is closer to - 9 than to - 8.

Step: 4

- 7 9 ≈ - 9

Correct Answer is : -9

Step: 1

Step: 2

130 + 23 = 153

Step: 3

Step: 4

153 lies between the perfect squares, 144 and 169 as shown in the following number line.

Step: 5

Step: 6

So, 12 is the nearest integer for the expression.

Correct Answer is : 12

Step: 1

Find the value of the 1 3 4 5 using a calculator.

Step: 2

From the calculator, the value of 1 3 4 5 is 36.674241.

Step: 3

In the decimal number, the digit in tenths place is 6.

Step: 4

As 6 is greater than 5, the decimal 36.6 is closer to 37 .

Step: 5

Therefore, the approximate value of 1 3 4 5 is 37 .

Correct Answer is : 37

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