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More # How do you find the square root of $3600$ ?

Last updated date: 26th Mar 2023
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Hint: The square root of the number “n” is defined as the number when multiplied by itself and equals to “n”. For example, the square root of $\sqrt 9 = \sqrt {{3^2}} = 3$ First we will find the prime factorisation by prime factorization and then with it will find square-root.

Factorization of $3600$ –
Factors $3600 = 60 \times 60$
$3600 = {60^2}$
$\sqrt {3600} = \sqrt {{{60}^2}}$
$\Rightarrow \sqrt {3600} = 60$
Hence, the square root of $3600$ is $60$
Note: The squares and the square roots are opposite of each other and so cancel each other. Perfect square number can be defined as the square of an integer, in simple words it is the product of the same integer with itself. For example - $25{\text{ = 5 }} \times {\text{ 5, 25 = }}{{\text{5}}^2}$ , generally it is symbolized by n to the power two i.e. ${n^2}$ . The perfect square is the number which can be expressed as the product of the two equal integers. For example: $9$ , it can be expressed as the product of equal integers. $9 = 3 \times 3$