Math Problem Statement

(91.310.1)\sqrt{\left(\frac{91.3}{10.1}\right)}

Solution

To solve the expression (91.310.1)\sqrt{\left(\frac{91.3}{10.1}\right)}, we need to follow these steps:

  1. Divide 91.391.3 by 10.110.1: 91.310.1=9.04\frac{91.3}{10.1} = 9.04

  2. Take the square root of the result: 9.04\sqrt{9.04}

  3. Calculate the square root: 9.043\sqrt{9.04} \approx 3

Thus, the value of the expression is approximately 33.

Would you like more details or have any questions?

Here are some related questions you might find helpful:

  1. How do you simplify a fraction before taking the square root?
  2. What are the properties of square roots?
  3. How can you approximate square roots without a calculator?
  4. What are some common mistakes to avoid when working with square roots?
  5. How do you handle square roots of negative numbers?
  6. Can the square root function be applied to complex numbers?
  7. How do you verify the result of a square root calculation?
  8. What are some real-world applications of square roots?

Tip: When dealing with square roots, remember that the square root of a number xx is a value yy such that y2=xy^2 = x.

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Math Problem Analysis

Mathematical Concepts

Square Roots
Fraction Simplification

Formulas

Square root formula: sqrt(x)

Theorems

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Suitable Grade Level

Grades 7-9