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Number Systems

Short Answer Type

91.

y²= 9

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92.

straight z squared equals 0.04

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93. In the following equations, find which variables x, y, z etc., represent rational numbers and which represent irrational numbers:

straight u squared equals 17 over 4

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94.

straight v squared equals 3

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95. In the following equations, find which variables x, y, z etc., represent rational numbers and which represent irrational numbers:

straight w cubed equals 27

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96. In the following equations, find which variables x, y, z etc., represent rational numbers and which represent irrational numbers:

straight t squared equals 0.4

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97. Rationalise the denominators of the following:

fraction numerator square root of 3 minus 1 over denominator square root of 3 plus 1 end fraction

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98. Rationalise the denominators of the following:

fraction numerator 3 plus square root of 2 over denominator 3 minus square root of 2 end fraction

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99. Rationalise the denominators of the following:

fraction numerator 3 plus square root of 7 over denominator 3 minus 4 square root of 7 end fraction

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100. Represent $square root of 5$ on the number line.

Mark the distance 5 units from a fixed point A on a given line to obtain a point B such that AB = 5 units. From B, mark a distance of 1 unit and mark the new point as C. Find the mid-point of AC and mark that point as O. Draw a semicircle with centre O and radius OC. Draw a line perpendicular to AC passing through B and intersecting the semicircle at D.

Then, $BD equals square root of 5.$

Now, let us treat the line BC as the number line, with B as zero, C as 1, and so on. Draw an arc with centre B and radius BD, which intersects the number line in E.

Then, E represents $square root of 5.$

Mark the distance 5 units from a fixed point A on a given line to obt

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Previous Year Papers

Test Series

Test Yourself

Short Answer Type

100. Represent on the number line.

100. Represent $square root of 5$ on the number line.