Maths Tricks for square Roots – Formulas

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Square Roots

Basic formulas in Powers and Roots

Some basic formulas used to solve questions on exponents are:

  • (am)n = (an)m = amn

  • am.a= am+n

  • a-m = 1/am

  • am/an = am-n = 1/an-m

  • (ab)n = anbn

  • (a/b)n = an/bn

  • a0 = 1

Roots Formulas

Some basic formulae used to solve questions on roots are:

  • n√a = a1/n

  • n√ab = n√a* n√b

  • n√(a/b) = n√a / n√b

  • (n√a)n = a

Solved Examples

Question 1:

What is the square root of 144?

Solution:

The factors of 144 are given as,
144 = 12×12
144=12×12 144=12

Question 2:

What is the square root of 80?

Solution:

The factors of 80 are given as,

80= 4×4×5

80=4×4×5 

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