martinezadam576
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What is this expression in simplified form?
[tex]\[ \frac{\sqrt{108}}{\sqrt{3}} \][/tex]

A. 6
B. [tex]\(\sqrt{105}\)[/tex]
C. 36
D. 3

Sagot :

GinnyAnswer
To simplify the expression [tex]\(\frac{\sqrt{108}}{\sqrt{3}}\)[/tex], we can use properties of square roots to make it simpler.

First, recall that the division of two square roots can be combined into a single square root:
[tex]\[ \frac{\sqrt{108}}{\sqrt{3}} = \sqrt{\frac{108}{3}} \][/tex]

Next, perform the division inside the square root:
[tex]\[ \frac{108}{3} = 36 \][/tex]

So the expression now becomes:
[tex]\[ \sqrt{36} \][/tex]

Finally, take the square root of 36:
[tex]\[ \sqrt{36} = 6 \][/tex]

Thus, the simplified form of the expression [tex]\(\frac{\sqrt{108}}{\sqrt{3}}\)[/tex] is [tex]\(6\)[/tex].

The correct answer is:
A. 6
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