Math Problem Statement

find the squareroot of 89.4

Solution

The square root of 89.4 is approximately:

89.49.457\sqrt{89.4} \approx 9.457

This value is rounded to three decimal places. Would you like more details on how to compute this, or do you have any other questions?

Here are 5 related questions to consider:

  1. What is the square root of 100?
  2. How can you estimate the square root of a number without a calculator?
  3. What is the difference between a perfect square and a non-perfect square?
  4. How do you simplify square roots involving fractions?
  5. Can you compute square roots using logarithms?

Tip: The square root of non-perfect squares can often be estimated by finding the closest perfect squares and then refining the approximation.

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Math Problem Analysis

Mathematical Concepts

Square Roots
Estimation of Non-Perfect Squares

Formulas

√x (Square Root)

Theorems

Square Root Approximation
Properties of Irrational Numbers

Suitable Grade Level

Grades 6-8