How to Write 3 Square Root of 1 in Calculator

When working with square roots in calculators, proper notation is essential for accurate calculations. This guide explains how to correctly write expressions like 3√1 in various calculator types.

Square Root Notation

The square root of a number is written using the radical symbol (√) in mathematical notation. For the expression "3 square root of 1", we use the following notation:

3√1

This means "3 times the square root of 1". The coefficient (3) is placed before the radical symbol, and the radicand (1) is placed after it.

Alternative Notations

Depending on the calculator or software, you might see these equivalent notations:

3 * √1
3 * sqrt(1)
3^(1/2)

The first two notations use the multiplication symbol (*) explicitly, while the third uses exponent notation where 1/2 represents the square root.

Entering in Calculators

The method for entering square roots varies by calculator type. Here are common approaches:

Scientific Calculators

Enter the coefficient: 3
Press the multiplication key (*)
Press the square root key (√)
Enter the radicand: 1
Press the equals key (=)

Graphing Calculators

Use the exponent notation: 3 * 1^(1/2)
Or use the square root function: 3 * sqrt(1)

Programming Calculators

Use the exponent notation: 3 * pow(1, 0.5)
Or use the square root function: 3 * sqrt(1)

Note: Some calculators may require you to close parentheses after the radicand when using function notation (e.g., 3 * sqrt(1)).

Examples

Let's look at some examples of how to write square roots in calculators:

Expression	Calculator Input	Result
2√4	2 * √4	4
5√9	5 * sqrt(9)	15
3√1	3 * 1^(1/2)	3

Notice that in the case of 3√1, the result is simply 3 because the square root of 1 is always 1, and multiplying by 3 gives 3.

FAQ

Can I write square roots without the multiplication symbol?

Yes, but it's important to understand the implied multiplication. For example, 3√1 means 3 multiplied by the square root of 1. Some calculators may interpret this as 3 times the square root of 1, while others might treat it as a syntax error.

What happens if I enter √1 without the coefficient?

The calculator will simply return 1, since the square root of 1 is always 1. If you want to multiply the result by a coefficient, you must include the multiplication symbol or function notation.

Are there other ways to represent square roots?

Yes, square roots can also be represented using exponents. For example, √x is equivalent to x^(1/2). This exponent notation is particularly useful in calculators that don't have a dedicated square root key.