What is the square root of 7?

The square root of 7 (√7) is an irrational number. This means it cannot be expressed as a fraction of two integers. Its decimal representation is non-terminating and non-repeating.

The approximate value of √7 is 2.64575131106...

• Nature: It is an irrational number.
• Algebraic Significance: It is an algebraic number because it is a root of the polynomial equation x² - 7 = 0.
• Decimal Expansion: Its decimal representation goes on infinitely without repeating. This demonstrates its irrationality.
• Approximation: It is frequently approximated as 2.646 for practical purposes, but keep in mind this is just an approximation.
• Occurrence: The square root of 7 arises in various mathematical contexts, including geometry (e.g., calculating lengths in certain geometric figures).