What is the square root of 5625?
Understand the Problem
The question is asking for the square root of the number 5625. To find the square root, we want to determine what number multiplied by itself equals 5625.
Answer
$75$
Answer for screen readers
The square root of 5625 is $75$.
Steps to Solve
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Estimate the square root Start by estimating the square root of 5625. Knowing that $70^2 = 4900$ and $80^2 = 6400$, we can determine that the square root of 5625 must be between 70 and 80.
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Narrowing down the estimation We can test a number in this range. Let's try $75$: $$ 75^2 = 75 \times 75 = 5625 $$
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Confirming the square root Since $75^2 = 5625$, we can conclude that the square root of 5625 is indeed 75.
The square root of 5625 is $75$.
More Information
Finding the square root is a basic mathematical operation that is often used in various applications such as geometry and statistics. Knowing squares and some simple multiplication can make finding square roots quicker.
Tips
Common mistakes include:
- Confusing the square root with squaring the number.
- Miscalculating the square in multiplication, especially with larger numbers.
