Math Problem Statement

Write down the value of \(\sqrt{196}\).

Solution

To find the value of 196\sqrt{196}, we need to determine which number, when multiplied by itself, gives 196.

The square root of 196 is: 196=14\sqrt{196} = 14

This is because 14×14=19614 \times 14 = 196.

Would you like a detailed explanation on square roots or have any other questions?

Here are some related questions to expand your understanding:

  1. What is the square root of 225?
  2. How can we calculate square roots of non-perfect squares, such as 200?
  3. What is the cube root of 196, and how does it differ from the square root?
  4. How would you simplify 196+64\sqrt{196} + \sqrt{64}?
  5. Can you list some other perfect squares close to 196?

Tip: Remember, the square root of a perfect square is always an integer.

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Math Problem Analysis

Mathematical Concepts

Square Roots
Perfect Squares

Formulas

Square root \(\sqrt{x} \) where \( x \) is a perfect square

Theorems

Properties of Square Roots

Suitable Grade Level

Grades 6-8