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Simplify the expression:
[tex]\[ (196)^{1/2} \][/tex]

Sagot :

Certainly! Let's solve the expression \(1(196)^{1 / 2}\) step by step.

1. Identify the expression inside the bracket: The expression inside the bracket is \(196\), which is raised to the power of \(\frac{1}{2}\).

2. Understand the meaning of the exponent: The exponent \(\frac{1}{2}\) indicates that we need to take the square root of \(196\). Mathematically, \(196^{\frac{1}{2}}\) is equivalent to \(\sqrt{196}\).

3. Calculate the square root of 196: The square root of \(196\) is \(14\). Therefore, \(196^{\frac{1}{2}}\) equals \(14\).

4. Multiply by 1: The expression outside the bracket is \(1\), and we need to multiply the result of the square root by \(1\). Hence, \(1 \times 14\) equals \(14\).

Therefore, \(1(196)^{1/2} = 14\).

So, the final result is [tex]\(14\)[/tex].
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