Answer – The square root of 64 is 8.
Explanation:
When a number is squared, it is multiplied by itself. For instance, the square of 10, or 10 squared (102) is,
10×10=100.
The square root function is the inverse. To find out the square root of a number, one has to find out the number that when multiplied by itself gives the original number as the answer. Square root is represented by the radical sign().
Therefore,
A perfect square is a number whose square root is a whole number. 64 is a perfect square. Its square root can be found using the prime factorization method.
From this,
64=2 × 2 × 2 × 2 × 2 × 2
The 2s can be divided into pairs.
64=(2 × 2) × (2 × 2) × (2 × 2)
=2 2 × 2 2 × 2 2
=(2 × 2 × 2) 2
=8 2
Thus,
Square roots can be positive or negative integers, while the squares are always positive. Here, for instance, the square root of 64 can be either 8 or -8. However, commonly, the root is assumed to be the positive integer.
Popular Questions
- A Diginacci sequence is created as follows. The first two terms are any positive whole numbers. Each of the remaining terms is the sum of the digits of the previous two terms For example, starting with 4 and 8 the Diginacci sequence is4, 8, 13, 12, 7, 10, …The calculations for this exmaple are 4 + 8 = 13, 8 + 1 + 3 = 12, 1 + 3 + 1 + 2 = 7, 1 + 2 + 7 = 10a. Calculate the first 28 terms of the Diginacci sequence with starting terms 1 and 1, and then find the 2021st number in the sequence. b. Show that if both starting terms in a Diginacci sequence are ach less than one million, then its fourth and fifth terms are each less than 100. c. Show that if both starting terms in a Diginacci sequence are each less than 100, then it has a term after which all terms are at most 20.d. Show that if both starting terms in a Diginacci sequence are each less than 100, then it has a term after which all terms equal 18 or all terms are less than 18.