Math Problem Statement

270 square root

Solution

The square root of 270 can be simplified as:

270=9×30=9×30=330\sqrt{270} = \sqrt{9 \times 30} = \sqrt{9} \times \sqrt{30} = 3\sqrt{30}

So, 27016.43\sqrt{270} \approx 16.43.

Would you like more details or have any questions?

Here are 5 related questions to explore:

  1. What is the square root of 300?
  2. How do you simplify the square root of a non-perfect square?
  3. Can you approximate 30\sqrt{30} with more decimal places?
  4. How would you find the square root of a fraction, like 270/4\sqrt{270/4}?
  5. What is the cube root of 270?

Tip: When simplifying square roots, factor the number into perfect squares and other factors to make calculations easier.

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Math Problem Analysis

Mathematical Concepts

Square Roots
Simplification
Radicals

Formulas

√(a * b) = √a * √b

Theorems

Product of Square Roots Theorem

Suitable Grade Level

Grades 7-10