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Use radical notation to rewrite the expression. Then simplify, if possible.

[tex]\[ 25^{1/2} \][/tex]

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. [tex]\[ 25^{1/2} = \square \][/tex] (Simplify your answer.)
B. The answer is not a real number.

Sagot :

GinnyAnsweridn
Sure, let's go through the steps to address the problem of rewriting and simplifying the given radical expression:

Given expression:
[tex]\[ 25^{1/2} \][/tex]

1. Rewrite the radical notation:
The expression [tex]\( 25^{1/2} \)[/tex] can be rewritten using radical notation. The exponent [tex]\( \frac{1}{2} \)[/tex] signifies the square root. Therefore,
[tex]\[ 25^{1/2} = \sqrt{25} \][/tex]

2. Simplify the radical expression:
Next, we need to simplify [tex]\( \sqrt{25} \)[/tex]. We know that the square root of 25 is 5 since
[tex]\[ 5 \times 5 = 25 \][/tex]
Therefore,
[tex]\[ \sqrt{25} = 5 \][/tex]

So, the correct and simplified form of the expression [tex]\( 25^{1/2} \)[/tex] is:
[tex]\[ 25^{1/2} = 5 \][/tex]

Thus, the correct choice is:
A. [tex]\[ 25^{1/2} = 5 \][/tex]

This concludes that the answer is not only real but also simplifies neatly to a single value, which is 5.
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