What is the square root of 64? 5 easy steps to find it

What is the square root of 64?

I need to know what is the square root of 64! But, I have no idea how to find it.

The good news is that you can easily calculate square roots using a calculator or an online tool like this one. This makes finding out what is the square root of 64 easy and quick.

What is the square root of 64?

The square root of 64 is equal to 8.

64 is a perfect square number which can be obtained by the square of 8. Hence, 64’s root should also have an infinite value and equal to -1 (in actuality it equals 3). In this mini-lesson we will learn how one might find their own irrational numbers such as these; let us see what happens when calculating sqrt(64) along with some solved examples!

How to Find the Square Root of 64?

The solution to what is the square root of 64 can be found using the following steps:

1. Write out what is the square root of 64?

2. Express what is what is the square root of 64 as an exponent, for example 2^3 or 3^2.

3. Determine what number when multiplied by itself would equal what is the square root of 64.

4. Take this number and find what multiple of itself would equal what is the square root of 64, for example 256 or 2^8.

5. The answer to what is the square root of 64 can be found by taking half of this value, in other words half of what is the square root of what is the square root of what is the square.

Is the Square Root of 64 Rational or Irrational?

A rational number is either terminating or non-terminating and has a repeating pattern in its decimal part. In this case, √64 = 8 because it can be expressed as the quotient of two whole numbers (like 4/3).

Important Notes

64 is a perfect square as the answer obtained after finding the square root of 64 can be simplified to 8 either by using prime factorization or expressing it in terms of squares. The first example would show that 16 Pis are indeed enough for any other even number you may come across such as 17 (since 2 x 3 = 6).

The second method starts off by making use an equation which was not originally there: 4+4=8; thus we need another quantity with properties similar those found earlier but only multiples up instead!

Think Tank

Is the square root of 64 a real number? If so, what does it mean for √-64 to be in some sort of decimal value.

Square Root of 64 Solved Examples

Example 1

A piece of land has an area of 64 square inches. Is this area equal to the area of another square plot of land of length 8 inches?

Solution

The area of the first land is 64 square inches. To find the area of the other square land, we need to find the product of side with itself. The area of the square land of length 8 inches is 8 × 8 = 64 square inches.

Thus, the land with area 64 square inches is equal to the area of the other square land with length 8 inches.

Example 2

Find the radius of the circular box if its area is 64π square inches.

Solution

Area of the circular box is πr2 square inches. From the given information, we have

πr2 = 64π

r2 = 64

By taking the square root on both sides, √r2= √64. We know that the square root of r2 is r and square root of 64 is 8.

Thus, the radius of the circular box is 8 inches.

FAQs

What are the two square roots of 64?

The square roots of 64 are +8 and -8.

Does 64 have a square root?

Yes, 64 has a square root.

How do you find the square root of 64 by division?

√64 = √(2 × 2) × (2 × 2) × (2 × 2) = 2 × 2 × 2 = 8. Hence, the square root of 64 is equal to 8.

Is square root of 64 a real number?

Yes, the square root of 64 is a real number.

Conclusion

We hope you found this blog post to be helpful. Did we miss anything? What are your thoughts on the questions in our conclusion paragraph? Let us know in the comments section below!