# 8.1.3. Finding the Approximate Value of an Irrational Number

The side length of a square whose area is .

• Aan irrational number
• Ba natural number
• Can integer number
• Da rational number
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Which of the below integers is the nearest to ?

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Find the solution set of in .

• A
• B
• C
• D
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Find the value of in if .

• A
• B
• C
• D
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Find the two consecutive one-decimal place numbers between which lies.

• A12.2 and 12.3
• B12.1 and 12.2
• C12.4 and 12.5
• D12.3 and 12.4
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Find the solution set of in .

• A
• B
• C
• D
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Find the two consecutive integers that lies between.

• A7 and 8
• B8 and 9
• C6 and 7
• D54 and 56
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The upper part of a 3-metre long tree was broken and made an angle with the surface of the ground. If the length of the remaining part of the tree is m, where the tree is perpendicular to the ground, find the distance between the base of the tree and the point at which it touches the ground.

• Am
• Bm
• Cm
• Dm
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Find in terms of the circumference of a circle whose area is .

• Acm
• Bcm
• Ccm
• Dcm
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If the area of a square is , then its side length is cm.

• A21
• B
• C224
• D
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Find the side length of the cube whose volume equals .

• A
• B
• C
• D
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Determine the irrational number.

• A 59
• B
109.5
• C
• D
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Find the solution set of the equation in .

• A
• B
• C
• D
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Find the two consecutive one decimal place number between which lies.

• A
• B
• C
• D
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Given that is an integer, find its value if .

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Which of the following is an irrational number that lies between 2 and 3?

• A
• B
• C 2.6
• D
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