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Solve for
b. Express your answer in simplest radical form if necessary.

b=sqrt96*sqrt96
Answer:
b=

Solve for $b$ . Express your answer in simplest radical form if necessary. $\newline$ $b=\sqrt{96} \cdot \sqrt{96}$ $\newline$ Answer: $b=$

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Multiply radical expressions

Full solution

Q. Solve for

b

. Express your answer in simplest radical form if necessary.

\newline

b=\sqrt{96} \cdot \sqrt{96}

\newline

Answer:

b=

Write Problem: First, let's write down the problem: $b = \sqrt{96} \times \sqrt{96}$ .
Apply Rule: Now, we know that $\sqrt{a} \times \sqrt{a} = a$ . So, $b = 96$ .
Check Simplification: But wait, we need to check if $96$ can be simplified further. The prime factorization of $96$ is $2^5 \times 3$ . So, $b = \sqrt{2^5 \times 3} \times \sqrt{2^5 \times 3}$ .
Take Out Factors: Since we have a pair of each prime factor under the square root, we can take out one of each pair. So, $b = 2^2 \times 3 \times \sqrt{2}$ .
Simplify Expression: That simplifies to $b = 4 \times 3 \times \sqrt{2}$ .
Multiply Numbers: Finally, we multiply the numbers outside the square root. So, $b = 12 \times \sqrt{2}$ .

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