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Express in simplest radical form:

[tex] \sqrt{72} \]

Sagot :

GinnyAnswer
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]
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