# What is the square root of 7?

#### Understand the Problem

The question is asking for the mathematical value of the square root of 7, which involves determining the number that when multiplied by itself gives the value of 7.

Approximately 2.6457513110645906

The final answer is approximately 2.6457513110645906

#### Steps to Solve

1. Understand the square root function

The square root function finds a number that, when multiplied by itself, equals the original number. Mathematically, ( \sqrt{7} ), specifically, the positive number which when squared equals 7.

1. Recognize that the square root of 7 is irrational

The square root of 7 is not a perfect square, thus it is an irrational number and cannot be expressed exactly as a simple fraction. Its decimal representation does not terminate or repeat.

1. Estimate the value

The value of the square root of 7 can be estimated using a calculator. For practical purposes, it can be approximated as, $$\sqrt{7} \approx 2.6457513110645906$$

The final answer is approximately 2.6457513110645906