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What is the square root of 64?
A. 6
B. 8
C. 7
D. 9
Correct Answer Is Option = 8
Notes / Explanation
The square root of sixty-four is eight, and this provides a good opportunity to understand the idea of a square root, which is an important concept in mathematics. The square root of a number is the value which, when multiplied by itself, gives that number. So the square root of sixty-four is the number which, when multiplied by itself, gives sixty-four, and that number is eight, because eight multiplied by eight gives sixty-four. The idea of a square root is the reverse of the idea of squaring a number: squaring a number means multiplying it by itself, so that eight squared is sixty-four, while finding the square root is the reverse process, of finding the number which, when squared, gives the number we started with, so that the square root of sixty-four is eight. Because of this reverse relationship, knowing the squares of numbers helps in finding square roots; since we know that eight squared is sixty-four, we know that the square root of sixty-four is eight. Certain numbers, such as sixty-four, are called perfect squares, because they are the squares of whole numbers and so have exact whole-number square roots; for example, the square root of sixty-four is exactly eight, just as the square root of eighty-one is exactly nine, the square root of forty-nine is exactly seven, and so on. It is interesting to note that sixty-four is also a number that appears in other ways in mathematics, being also a result of multiplying two by itself a number of times, but as a perfect square its square root is eight. Other numbers do not have exact whole-number square roots. Knowing the perfect squares and their square roots, at least up to a certain point, is very useful in mathematics, and it allows the square roots of the perfect squares to be found quickly. The idea of the square root comes from geometry, for the square root of the area of a square gives the length of its side, so that if a square has an area of sixty-four square units, the length of each of its sides is eight units. For PPSC and other competitive examinations, the key points to remember are that the square root of sixty-four is eight, that the square root of a number is the value which, when multiplied by itself, gives that number, so that eight multiplied by eight gives sixty-four, that finding a square root is the reverse of squaring a number, and that numbers such as sixty-four, which are the squares of whole numbers, are called perfect squares and have exact whole-number square roots.
