Math Problem Statement

2 + 3√49 = ?

Solution

The expression shown is:

2+3492 + 3\sqrt{49}

First, simplify 49\sqrt{49}. The square root of 49 is 7, so the expression becomes:

2+3×72 + 3 \times 7

Now, calculate 3×7=213 \times 7 = 21. Therefore, the expression simplifies to:

2+21=232 + 21 = 23

So, the result is 2323.

Would you like any further explanation, or do you have questions about the steps?

Here are 5 questions related to this problem:

  1. What is the general method to simplify square roots?
  2. How can we handle similar expressions with other square roots?
  3. What would change if the expression involved a negative square root?
  4. How do square roots affect equations in algebra?
  5. What is the importance of knowing perfect squares in simplifying such expressions?

Tip: Knowing perfect squares (like 49, 64, 81) helps quickly simplify square root expressions!

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Square Roots
Basic Arithmetic

Formulas

√a = b, where b^2 = a
Order of Operations (PEMDAS)

Theorems

The square root theorem, stating that √a is the number that, when squared, gives a

Suitable Grade Level

Grades 6-8