Square root of 8243

If you are looking to answer the following questions: “what is the square root of 8243?” The answer is 90.790968713854. 

ANSWER: square root of 8243=90.790968713854

The square root of a number (8243 in this case) is a number (90.790968713854 in this case) which multiplied by itself equals the number from which you are calculating the square root (8243). Mathematically square root of 8243 can expressed in the radical form or an exponent form as shown below:

• Radical form of the square root of 8243: √8243
• Exponent form of the square root of 8243: (8243)^½ or (8243)^0.5

This symbol √ is called radical sign or radix. The number whose square root is being calculated is called the radicand. The radicand is the number underneath the radical sign (radix), in this case it is 8243.

Square root of 8243 calculator

If you would like to confirm the answer to the question of “what is the square root of 8243?” or calculate a square root of any other number use the square root calculator:

Square root of 8243 calculation guide

In the following sections we explain how to calculate the square root of 8243. We will answer such common questions as: “is the square root of 8243 rational or irrational?” and “is 8243 a perfect square?” We will discuss what the principal square root of 8243 is.  For your reference we also included the following tables:

• N^th roots of 8243
• Perfect square numbers
• Square roots of numbers around 8243 

You will find all the information you need on the square root of 8243 calculations below. 

What is the square root of 8243?

The square root of 8243 is a number which multiplied by itself equals 8243. Therefore, the square root of 8243 is 90.790968713854 and we write it √8243=90.790968713854 because 90.7909687138542=8243. Since 90.7909687138542 is the same as 90.790968713854 x 90.790968713854 the following expressions is true:

8243 = 90.7909687138542=90.790968713854×90.790968713854

Therefore

ANSWER: square root of 8243=√8243=90.790968713854

Is 8243 a Perfect Square?

A number is considered a perfect square if it is a product of squaring a whole number (called integer). 0, 1, 2, 3, 4, 7, 8, and 9 are all whole numbers (same as integers). Numbers such as -8, 7.025, or 5 ½ are not whole numbers. Remember squaring is when a number is multiplied by itself. For example, 81 is a perfect square because it is a product of 92 which is the same as 9×9. Notice 9 is a whole number (integer).

In our example the square root of 8243 is 90.790968713854. Since 90.790968713854 is not a whole number therefore 8243 is not a perfect square.

ANSWER: 8243 is not a whole number 

Is the square root of 8243 rational or irrational number?

A number is rational when it can be made by dividing a whole number by a whole number. A whole number which is also called an integer does not have a fractional part itself. Simply said a number is rational if it can be written as a fraction. 

A quick method to determine if 8243 is a perfect square. The square roots of perfect squares are all rational numbers. The square roots of numbers that are not a perfect square are all irrational numbers. Since we know that 8243 is not a perfect square therefore 8243 is not a rational number.

Principal square root of 8243

Every positive number has two square roots. One of the square roots is positive and another one is negative. For example the square roots of 8243 are -90.790968713854 (negative) and +90.790968713854 (positive) because  (-90.790968713854)^2=(+90.790968713854)^2=8243. The positive square root is denoted as “the principal square root”. Typically, when we are calculating “the square root of a number” we mean the principal square root. In our case it is positive 90.790968713854 or +90.790968713854 which is written as 90.790968713854. As you may know if there is no minus (-) sign before a number it is a positive number. 

Again the principal square root of 8243 is 90.790968713854.

Calculating the square root of 8243 with a calculator

In order to calculate the square root of 8243 with a basic or a scientific calculator you need to enter 8243 and then press the key with this sign  “√x”

√8243 = 90.790968713854

Calculating the square root of 8243 in Excel and Google Sheets

There are two functions you can use to do this calculation. You can use the function SQRT () to calculate the square root of any number in Excel and Google Sheets. Click on a cell and type =SQRT(8243). Hit enter. You will get 90.790968713854.

You can also use the POWER function which works like an exponent is an equation. To find a square root of 8243 type =POWER (8243, 1/2). Remember square roots can be expressed as exponents as we discussed earlier in this article.

Table: N^th roots of 8243

In the section above we explained how the square root (which is the 2^nd root) of 8243 is calculated. However there are more roots of 8243. Find the N^th roots of 8243 in the table below:

Table: Square root of numbers around 8243

This table lists numbers around 8243 and their respective square roots.

Table: Perfect square numbers

This table lists perfect square numbers from 1 through 10,000.

Visit squarerootof.net for any square root related calculations including square roots, negative square roots, square roots from fractions, exponentiation and other related calculations.