Question

Find the side of
Square if its area
is (x² + 6x +4) cm?​

Answer 1

Answer:

=x+2+$\sqrt{2x}$

Step-by-step explanation:

$\sqrt{x^{2}+6x+4 }$

= $\sqrt{x^{2} +2^{2} +4x+2x}$

($(a+b)^{2} =a^{2}+b^{2}+2ab$)

= x+2+$\sqrt{2x}$

Answer 2

Answer:

First Method

Area of a square = side × side

or side = √(area)

According to the question,

$s = \sqrt{ {x}^{2} + 6x + 4 } \\ s = \sqrt{ {x}^{2} } + \sqrt{6x} + \sqrt{4} = > \sqrt {6x} + x + 2$

Second Method

After Factorising area of the square i.e. (x² + 6x +4) cm², we get

$(x + 4)(x + 6)$

Now, Area of a square = side × side

or side = √(area)

or side =

$\sqrt{(x + 4)(x + 6)} = \sqrt{6x} + x + 2$

I have mentioned here 2 methods, Whichever You like you can Do.