What are Squares and Square Roots? Basically square of a number is the product of that number with itself. Suppose n is the number. It’s square will be denoted as ‘n2‘ and is read as ‘n squared’ or ‘n raised to 2’. Value of ‘n2‘ is equal to ‘n × n’.
Now, we know that 25 is a perfect square. Then what will be ‘5’ called as? Well, 5 is the square root of the square number 25. In this chapter, we’ll learn about Square and Square Roots and how to find them.
- Finding Squares of Given Numbers
- Formation of Squares Using Patterns
- Patterns in Square Numbers
- Introduction to Square Root
- Square Root of Perfect and Non Perfect Squares
FAQ on Squares and Square Roots
Question 1: How are perfect squares and square roots related?
Answer: It is important to note that when we will multiply a whole number by itself, we have said to ‘squared the number’. Thus, the answer we get is referred to as a perfect square. Then square roots are whole numbers which upon multiplication by themselves, result in perfect squares.
Question 2: Why is a square root called a square root?
Answer: The idea of the square root originated in Egypt and they technically termed it as ‘Knbt’, that means “corner” or “angle.” The explanation is that the length of each of the two sides of a square that contain any corner of it was referred to as its square root.
Question 3: Is 0 a perfect square?
Answer: Yes, 0 is a perfect square. As you know a perfect square means a number having rational number as roots. Thus, this makes 0 a rational number as we can express it as 0/1, making it a perfect square.
Question 4: What is the value of square root?
Answer: A square root of a number refers to a value that, when we multiply by itself gives the number. For instance, 4 × 4 = 16, so a square root of 16 will be 4. It is important to note that (−4) × (−4) = 16 as well, so −4 will also be a square root of 16.