answersLogoWhite

0

How do you represent the square root of 1?

Updated: 4/28/2022
User Avatar

Wiki User

15y ago

Best Answer

the square root of 1 is 1.

The square root of -1 is j (if you are an engineer) or i (if you are a math geek)

User Avatar

Wiki User

15y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you represent the square root of 1?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Algebra

What is the Square root of -1 Times Square root of -1?

0


Square root of one half?

Square root of 1/2 = (1)/(square root of 2) = 1/1.4142 = 0.7071 Also Square root of 1/2 = Square root of 0.5 = 0.7071


What is the square root of x squared plus 1?

square root of (x2 + 1) = no simplification (square root of x2) + 1 = x + 1


What is 3 and the square root of -27?

-27 does not have a square root. The mathematical expression for the square root of-1 is i.


Find the two numbers whose product is 1 and whose sum is 1?

x + y = 1xy = 1y = 1 - xx(1 - x) = 1x - x^2 = 1-x^2 + x - 1 = 0 or multiplying all terms by -1;(-x^2)(-1) + (x)(-1) - (1)(-1) = 0x^2 - x + 1 = 0The roots are complex numbers. Use the quadratic formula and find them:a = 1, b = -1, and c = 1x = [-b + square root of (b^2 - (4)(a)(c)]/2a orx = [-b - square root of (b^2 - (4)(a)(c)]/2aSox = [-(-1) + square root of ((-1)^2 - (4)(1)(1)]/2(1)x = [1 + square root of (1 - 4]/2x = [1 + square root of (- 3)]/2 orx = [1 + square root of (-1 )(3)]/2; substitute (-1) = i^2;x = [1 + square root of (i^2 )(3)]/2x = [1 + (square root of 3)i]/2x = 1/2 + [i(square root of 3]/2 andx = 1/2 - [i(square root of 3)]/2Since we have two values for x, we will find also two values for yy = 1 - xy = 1 - [1/2 + (i(square root of 3))/2]y = 1 - 1/2 - [i(square root of 3)]/2y = 1/2 - [i(square root of 3)]/2 andy = 1 - [1/2 - (i(square root of 3))/2)]y = 1 - 1/2 + [i(square root of 3))/2]y = 1/2 + [i(square root of 3)]/2Thus, these numbers are:1. x = 1/2 + [i(square root of 3)]/2 and y = 1/2 - [i(square root of 3)]/22. x = 1/2 - [i(square root of 3)]/2 and y = 1/2 + [i(square root of 3)]/2Let's check this:x + y = 11/2 + [i(square root of 3)]/2 +1/2 - [i(square root of 3)]/2 = 1/2 + 1/2 = 1xy = 1[1/2 + [i(square root of 3)]/2] [1/2 - [i(square root of 3)]/2]= (1/2)(1/2) -(1/2)[i(square root of 3)]/2] + [i(square root of 3)]/2](1/2) - [i(square root of 3)]/2] [i(square root of 3)]/2]= 1/4 - [i(square root of 3)]/4 + [i(square root of 3)]/4 - (3i^2)/4; substitute ( i^2)=-1:= 1/4 - [(3)(-1)]/4= 1/4 + 3/4= 4/4=1In the same way we check and two other values of x and y.

Related questions

What is the square root of four?

The answer is 2i. When dealing with negative square roots, the expression i is used to represent the square root of -1.


What is the square root of negative four?

The answer is 2i. When dealing with negative square roots, the expression i is used to represent the square root of -1.


What is the square root of minus 4?

The answer is 2i. When dealing with negative square roots, the expression i is used to represent the square root of -1.


Does the imaginary number in math represent 1 or -1?

2


How do you represent root 2 to root 9 in the number line?

By root, I think you mean square root. The square root of 2 is approx. 1.414. The square root of 9 = 3, so this goes exactly at 3 on the number line. Square root 2 will be less than 1/2 way between 1 and 2 on the number line.


What is the symbol used to represent thenonnegative square root of a number?

The negative square root of a number is expressed as -√n or -n^½. The question probably may refer to the square root of a negative number. In mathematics there is an identity i² = -1 so that i = √-1 The square root of a negative number can be shown in several ways. For Example : √-36 = √( -1 x 36) = √-1 x √36 The square root of 36 is ±6, and the square root of -1 is i. The solution to √-36 is therefore ±6i.


Do radicals represent irrational numbers?

Sometimes. The square root of 2 is, but the square root of 9 is not.


Square root of -1 is iota How?

Mathematicians decided that, since the square root of a negative number does not exist, they would use the first letter of "imaginary" to represent this "value".


How do you represent root 10 on number line?

friends,root 10 is according to our pythagores thoream.root 10=square of 3 and square of 1 can be represented on a number line.


What is the symbol used to represent a negative square root of a number?

Negative square root is -√Square root of negative one is i.


What is the square root of 32 in simplest form?

I cant use the square root symbol so lets use the word "root" to represent square root. The answer would be 4root2


What is the Square root of -1 Times Square root of -1?

0