Let’s look at square roots of a perfect square. So, in the problem we need to find the square root of 25. So, a number is a perfect square if it has two equal factors and the square root of a number is one of those two equal factors. So, to find the square root of 35 lets consider a grid of 25 squares so let’s draw the square so that the number of squares and the length is equal to the number of squares over the width. So, I already draw 25 squares and I'm going to draw this best of my ability, so I'm drawing 25 squares but I want to check if it’s a perfect square, if this number of squares in a link is equals to the numbers squares over the width. So here, I would have one, two, three, four, five so if I did five going the other way would this give me 25, well I’ve one, two, three, four, five and one two three four five. And I know 5*5 the area will be 25. So, we can draw a grid with 25 squares so such that the number of squares over the length is equal to the number of squares over the height. So, 25 is a perfect square and each side has five squares. We have one two three four five on one side and one two three four five on the width. So, the square root of 25 is five, so square root will be one of those sides.

So, to find the square root of a perfect square, think of number which one multiplied by itself gives the square. So, we said that 5*5 is equal to 25, so the square root of perfect square 25 would be five. So, a square root is denoted by this symbol. So, square root of A is written as such. So, remember also that the square root is the inverse operation of square. So for instance, if A*A is equal to A^2 then the square root of A^2 is equal to A. So, lets use this above example to help us out here. So, if 25 is equal to 5*5 so 25 is equal to 5*5 and we know that so that means we know that 25 is equal to 5^2. So, that means the square root of 25 is five.

Remember, we can draw a grid of squares to check if a number is a perfect square. The number of squares that make up one side of the grid is square root. To find the square root of a perfect square, think of a number which one multiplied by itself gives a square. If A*A equals A^2 then the square root A^2 is equal to A. And remember that a square root is denoted by this symbol and the square root of A is written as such.