IDNLearn.com makes it easy to find precise answers to your specific questions. Our experts provide accurate and detailed responses to help you navigate any topic or issue with confidence.

Express in simplest radical form:

[tex] \sqrt{72} \]


Sagot :

Sure, let's simplify \(\sqrt{72}\) step by step.

1. Start by factoring the number inside the square root:
- 72 can be factored into 36 and 2. This gives us:

[tex]\[ 72 = 36 \times 2 \][/tex]

2. Apply the property of square roots:
- The property of square roots tells us that the square root of a product is the product of the square roots. Thus:

[tex]\[ \sqrt{72} = \sqrt{36 \times 2} = \sqrt{36} \times \sqrt{2} \][/tex]

3. Simplify the square roots:
- The square root of 36 is 6 because \( 6 \times 6 = 36 \). So:

[tex]\[ \sqrt{36} = 6 \][/tex]

4. Combine the terms:
- Using the previous results, we have:

[tex]\[ \sqrt{72} = 6 \times \sqrt{2} \][/tex]

Therefore, the simplest radical form of \(\sqrt{72}\) is:

[tex]\[ 6 \times \sqrt{2} \][/tex]
Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. Your questions deserve accurate answers. Thank you for visiting IDNLearn.com, and see you again for more solutions.