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Before solving the numerical on this chapter make sure that you are perfect with the chapter of square and square roots, simplification, linear and quadratic equations and decimal fractions.
Surd: Number which cannot be expressed in the fraction form of two integers is called as surd. Hence, the numbers in the form of √3, 3√2, ……. n√x
For example: a3 is a number with an index of 3 and base ‘a’. It is called as “a to the power of 3”Irrational numbers which contain the radical sign (√ ) are called as surds. Indices: Indices refers to the power to which a number is raised. Index is used to show that a number is repeatedly multiplied by itself.
1) Any number raised to the power zero is always equals to one. (Eg: x 0 = 1) 2) Surd n√x can be simplified if factor of x is a perfect square 3) If denominator in a fraction has any surds, then rationalize the denominator by multiplying both numerator and denominator by a conjugate surd. 4) Every surd is an irrational number, but every irrational number is not a surd. 5) The conjugate of (2 + 7i) is (2 – 7i) 6) Different expressions can be simplified by rationalizing the denominator and eliminating the surd.
By: Atul Sambharia ProfileResourcesReport error
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