Surds

If‘a’ be a rational number, ‘n’ be any positive integer and ‘nth’ root of ‘a’ is an irrational number, then ‘nth’ root of ‘a’ is called a surd or a radical of order ‘n’.

Rationalisation means converting the denominator of a given number to a rational number by a suitable multiplication in its numerator and denominator.

If the product of two irrational numbers is rational, then each one is called the rationalising factor of the other.

Keywords: Laws of surds, Rationalisation of Surds

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  • Q1

    If x = 1 + 2, then the value of x+(1/x) will be

    Marks:1
    Answer:

    22

    Explanation:

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  • Q2

    can be written as

    Marks:1
    Answer:

    q(m/n).

    Explanation:

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  • Q3

    The possible values of p and q for the equation are

    Marks:1
    Answer:

    p = 2 and q = -1

    Explanation:

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  • Q4

    Greatest surd among is

    Marks:1
    Answer:

    Explanation:

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  • Q5

    Marks:1
    Answer:

    198

    Explanation:

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