Question

8.4 add, subtract, and multiply radical expressions
score: 10.8/22 answered: 11/22
question 12
simplify.
√8√7 =
question help: video written example
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Explanation:

Step1: Use radical - multiplication rule

$\sqrt{a}\cdot\sqrt{b}=\sqrt{ab}$ (where $a = 8$ and $b = 7$)
So, $\sqrt{8}\cdot\sqrt{7}=\sqrt{8\times7}$

Step2: Calculate the product inside the radical

$8\times7 = 56$
So, $\sqrt{8\times7}=\sqrt{56}$

Step3: Simplify the radical

$56=4\times14$, and $\sqrt{56}=\sqrt{4\times14}$
Since $\sqrt{4\times14}=\sqrt{4}\cdot\sqrt{14}$ and $\sqrt{4} = 2$
We get $\sqrt{56}=2\sqrt{14}$

Answer:

$2\sqrt{14}$