toridivavh
Answered

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Select the correct answer.

What is this expression in simplified form?

[tex]\[
(6 \sqrt{2})(-3 \sqrt{5})
\][/tex]

A. -90
B. [tex]\(-18 \sqrt{10}\)[/tex]
C. [tex]\(-18 \sqrt{7}\)[/tex]
D. [tex]\(3 \sqrt{7}\)[/tex]

Sagot :

GinnyAnswer
To simplify the expression [tex]\((6 \sqrt{2})(-3 \sqrt{5})\)[/tex], we will follow a step-by-step approach:

1. Multiply the coefficients:
- Take the constants 6 and -3 and multiply them together:
[tex]\[ 6 \times -3 = -18 \][/tex]

2. Multiply the radicals:
- Multiply the square roots under the radical sign:
[tex]\[ \sqrt{2} \times \sqrt{5} = \sqrt{10} \][/tex]

3. Combine the results:
- Now, putting together the product of the coefficients and the product of the radicals, we get:
[tex]\[ -18 \sqrt{10} \][/tex]

Thus, the simplified expression is [tex]\(-18\sqrt{10}\)[/tex].

The correct answer is:

B. [tex]\(-18 \sqrt{10}\)[/tex]
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