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Question

The sum of two surds yields a rational number if both surds are equal in and opposite in sign.

A
magnitude
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B
number
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C
size
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D
shape
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Solution

The correct option is A magnitude
Sum of two surds will give a rational number only when both are of opposite signs and have same magnitude.
Let's understand it through examples.
Let one surd be 3 and another surd be 3
Sum of both surds =3+(3)
=33
=0
Here, sum of both surds is 0 which is a real number.

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