How do you find 4 under roots?

There are two numbers that will work#2 xx 2 = 4#and also#-2 xx -2 = 4#so the numbers#2#and#-2#are square roots of#4#. When people talk about the square root of#4#, they usually mean the number whose complete name is "the principal square root of#4#.

The principal square root of a (positive) number is the non-negative square root. The symbol#sqrt_ #denoted the principal square root.

So#sqrt4 = 2#

Here on Socratic to type#sqrt4#use the hashtag # before and after sqrt4. I you want some arithmetic under the square root symbol, use parentheses:

The square root of a numeric is another number that gives the first number when it is multiplied by the same digit. For instance, the square root of 4 is 2. The square root of 4 can be taught to the little ones with the help of the 4 Times Table, available at Osmo. Learning 4 times tables makes it simple to learn more complex ones and the square root of 4. For instance, if little ones know their basic times tables, it enables them to work out their 4 times tables by doubling the solution. The concept of square root is important for solving mathematical problems accurately.

What is the Square Root of 4?

The square root of 4 is 2. In simple words, a square root of a numeric is the number, when multiplied by itself, gives the actual number. For instance, 2 x 2 = 4. In this instance, 2 is the square root of 4. Hence, 4 is the perfect square. However, non square numerals too have square roots, and they are not whole numbers. The square root of 4 is mathematically expressed in two different ways, as follows,

• Radical form, 4
• Exponent form, 412

Also, parents and teachers can introduce the little ones to Osmo’s Math Games for Kids.

How to Find the Square Root 4?

It is a known fact that the square root of 4 can be determined in different ways. In this context, the little learners can be taught the simple method of finding the square root of 4, through the prime factorization method.

• 2 x 2 = 4
• 4 = √22
• 4 = (22)½
• Now, by the law of exponents, consider the powers, ½ x 2 = 1
• (22)½ = 2
• Hence, 4 = 2

How to Find the Square Root of Negative 4?

The square root of 4 is 2. But, how to find the square root of negative 4? Here are a few simple steps to determine the square root of negative 4. Also, refer to Multiplication Table for Kids, available at Osmo.

• Now, write down the negative 4 as4 x -1
• Then, when this equation is simplified, 4 is 2, and the -1 is i
• Therefore, the square root of negative 4 = 2i

Is the Square Root of 4 Rational or Irrational?

A numeric that is expressed as a ratio of two integers, such as p/q, q = 0, is known as a rational number. Now have a look at the square root of 4.

√4 = 2 = 2/1

Therefore,  √4 is a rational number.

Is the Square Root of 4 a Real Number?

Yes, the square root of 4 is a real number. Any number apart from the complex numbers is considered as a real number. The set of real numbers is denoted by R. In simple words, any numeric that is found in the actual world is a real number. Make sure to teach kids the concept of numbers by engaging them in real-time experiences. Real numbers are a collection of different sets of numbers, like irrational numbers for computing the square root of 4 or any number, integers for measuring temperature and rational numbers for fractions.

Osmo has a wide range of Worksheets for kids. Also, make sure to visit Osmo’s website to learn more about the square root of 4 and other math activities for kids.

Frequently Asked Questions on Square Root of 4

What is the value of the square root of 4?

The square root of 4 is 2.

Is the square root of 4 a rational or irrational number?

The value of the square root of 4 is 2, which is a whole number. So, it’s a rational number.

Which methods can be used to calculate the square root of 4?

The square root of 4 can be calculated using two methods, prime factorization and long division.

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Use this calculator to find the fourth root of a number. It accepts inputs of real numbers for the radicand. This online calculator is set up specifically to calculate 4th root. To calculate any root of a number use our Nth Root Calculator.

For complex or imaginary solutions use Simplify Radical Expressions Calculator.

• Fourth root of 1 is ±1
• Fourth root of 16 is ±2
• Fourth root of 81 is ±3
• Fourth root of 256 is ±4
• Fourth root of 625 is ±5
• Fourth root of 1296 is ±6
• Fourth root of 2401 is ±7
• Fourth root of 4096 is ±8
• Fourth root of 6561 is ±9
• Fourth root of 10000 is ±10

De Moivre's Theorem

for k = 0, 1, ..., n-1

\( \sqrt[n]{1} = cos\dfrac{2k\pi}{n} + sin\dfrac{2k\pi}{n} \, i \)

\( \sqrt[n]{-1} = cos\dfrac{(2k+1)\pi}{n} + sin\dfrac{(2k+1)\pi}{n} \, i \)

Fourth Root of a Negative Number

Find the fourth root of negative 81 with n=4 for the 4th root.

Solution:

\( = \; \sqrt[4]{81} \cdot \sqrt[4]{ -1 } \)

\( = \; 81^{\frac{1}{4}} \cdot (-1)^{\frac{1}{4}} \)

Using DeMoivre's Theorem we get the equation

\( \small{= 81^{\frac{1}{4}} \cdot \left(cos\left(\dfrac{(2k+1)\pi}{4}\right) + sin\left(\dfrac{(2k+1)\pi}{4}\right)i\right)} \)

How do you find 4 roots of an equation?