Introduction — lesson. Mathematics State Board, Class 10.

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The square root of a number:

The square root of a given positive real number is defined as the number multiplied by itself, resulting in the given number.

Example:

The square root of

$64$ is

$8$ .

That is,

$\sqrt{64} = \sqrt{8 \times 8} = \sqrt{8^2} = 8$

The square root of a polynomial:

The square root of a polynomial

$p(x)$ is defined as an expression

$q(x)$ , when multiplied with itself, results in the given number

$p(x)$ .

That is,

$p(x) = q(x) \times q(x)$

So,

$\sqrt{p(x)} = |q(x)|$ where

$|q(x)|$ is the absolute of

$q(x)$ .

The square root of a polynomial can be determined using two methods.

They are:

1. Factorization method

2. Long division method

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1. Introduction