Loading...

Surds And Indices

Practice MCQ with Solutions

Video Lesson on Surds And Indices

Before solving the numerical on this chapter make sure that you are perfect with the chapter of the square and square roots, simplification, linear and quadratic equations and decimal fractions.

Important Terms

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: su1 -55231068

Irrational numbers which contain the radical sign (√) are called as surds.
Indices: Indices refers to the power to which a number is raised. An index is used to show that a number is repeatedly multiplied by itself.

For example: a3 is a number with an index of 3 and base ‘a’. It is called as “a to the power of 3”

Quick Tips and Tricks

su2 -55104928

Laws of Surds

su3 -53113824

2) Expressing a number in radical form

Example: π x (m/n) π = n√ xm
The exponential form π x (m/n) π is expressed in radical form as n√xm

Important points to Remember

  • 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.
  • 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.

Rationalizing the denominator:

To rationalize the denominator √ 7 multiply with its conjugate to both numerator and denominator

su4 -38358236

Topics

More for You
All in this Category

You may be interested in

Superior College Of Science - Hydrabad

A famous college in Hydrabad is Sup ...

Colleges in cities of Sindh

Comprehensive lists of colleges in ...

USA Study Visa

How to get USA Study Visa and what ...

Pakistan Study Visa

How you can get study visa to Pakis ...

Pak Turk School

Multan campus of chain of schools i ...

Schools in Karachi

A comprehensive list to find school ...

Schools in Cambridgeshire

Best schools in the cities of Cambr ...

Schools in Anerley

Find a comprehensive list of major ...

Sentence Completion

Learn to crack Sentence Completion ...

Reading Comprehension

Reading Comprehension strategies wi ...