Math Problem Statement

\left(\sqrt{17.8}\right)^2=

Solution

(17.8)2=17.8\left( \sqrt{17.8} \right)^2 = 17.8

Since the square of a square root cancels out the square root itself, the answer is simply 17.8.

Would you like more details on this concept or have any questions?

Here are five related questions:

  1. What is the square of 25\sqrt{25}?
  2. Simplify (7)2\left(\sqrt{7}\right)^2.
  3. What is x2\sqrt{x^2} when x=9x = 9?
  4. How do you simplify (a)2\left(\sqrt{a}\right)^2 for any positive real number aa?
  5. Solve (49.5)2\left( \sqrt{49.5} \right)^2.

Tip: The square of a square root always returns the original value inside the root, assuming the value is non-negative.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Square Roots
Exponents

Formulas

(\sqrt{a})^2 = a

Theorems

The square of the square root theorem: (\sqrt{a})^2 = a

Suitable Grade Level

Grades 6-8