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81. Rationalise the denominators of the following:

fraction numerator 1 over denominator square root of 7 minus square root of 6 end fraction

124 Views

82. Rationalise the denominators of the following:

fraction numerator 1 over denominator square root of 5 plus square root of 2 end fraction

119 Views

83. Rationalise the denominators of the following:

fraction numerator 1 over denominator square root of 7 minus 2 end fraction equals fraction numerator 1 over denominator square root of 7 minus 2 end fraction cross times fraction numerator square root of 7 plus 2 over denominator square root of 7 plus 2 end fraction

128 Views

84. Identify the following as rational or irrational numbers. Give the decimal representation of rational numbers.

square root of 4

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85. Identify the following as rational or irrational numbers. Give the decimal representation of rational numbers.

3 square root of 18

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86. Identify the following as rational or irrational numbers. Give the decimal representation of rational numbers.

square root of 1.44 end root

376 Views

square root of 9 over 27 end root square root of bold 9 over bold 27 end root space equals square root of 1 third end root equals square root of 1 third end root equals fraction numerator 1 over denominator square root of 3 end fraction

because space 1 space left parenthesis not equal to space 0 right parenthesis

is a rational and

square root of 3

is an irrational number.

therefore space space fraction numerator 1 over denominator square root of 3 end fraction

is an irrational number.

because

the quotient of a non-zero rational number with irrational number is irrational.

192 Views

88. Identify the following as rational or irrational numbers. Give the decimal representation of rational numbers.

negative square root of 0.64 end root

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89. Identify the following as rational or irrational numbers. Give the decimal representation of rational numbers.

square root of 100

149 Views

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

x²= 5

972 Views