Math Problem Statement

75−−√=

Solution

The square root of 75 is approximately:

75=8.660\sqrt{75} = 8.660

This value is rounded to three decimal places.

Would you like more details on how this is calculated, or do you have any other questions?

Here are some related questions to explore:

  1. What is the square root of 100?
  2. How do you simplify the square root of 75?
  3. What is the difference between square roots of perfect squares and non-perfect squares?
  4. Can the square root of 75 be simplified further?
  5. How do you estimate the square root of non-perfect squares?

Tip: When simplifying square roots, look for perfect square factors (like 25 in 75) to break down the expression for easier calculation.

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Math Problem Analysis

Mathematical Concepts

Square Roots
Approximation
Radicals

Formulas

√a ≈ b, where b is the approximate value of the square root of a

Theorems

Square Root Property

Suitable Grade Level

Grades 6-8