Math Problem Statement

Hasil dari \( \sqrt{12} \times \sqrt{3} \) adalah . . .

Solution

The problem asks for the result of 12×3\sqrt{12} \times \sqrt{3}. Let's solve it step by step:

Step 1: Combine the square roots

Using the property a×b=a×b\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}, we can combine the two square roots: 12×3=12×3=36\sqrt{12} \times \sqrt{3} = \sqrt{12 \times 3} = \sqrt{36}

Step 2: Simplify the square root

Now, simplify 36\sqrt{36}: 36=6\sqrt{36} = 6

Final Answer:

The result is 6, which corresponds to option C.


Do you want further details or have any questions?

Here are 5 related questions to explore further:

  1. How do you simplify expressions with multiple square roots?
  2. What are the properties of square roots that can help simplify multiplication?
  3. How can we handle more complex radical expressions?
  4. What happens when you multiply square roots with different radicands?
  5. How do square roots interact with exponents?

Tip: Always check if you can simplify expressions inside square roots before multiplying.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Simplification of Square Roots
Properties of Radicals

Formulas

\( \sqrt{a} \times \sqrt{b} = \sqrt{a \times b} \)

Theorems

Square Root Multiplication Theorem

Suitable Grade Level

Grades 8-10