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VARVARA [1.3K]
3 years ago
10

What is the simplest form of the expression? 3sqrt(24a^10b^6)?

Mathematics
2 answers:
Anastasy [175]3 years ago
8 0

Answer:

\text{The simplest form is }6\sqrt6a^5b^3

Step-by-step explanation:

Given the expression 3sqrt(24a^{10}b^6).

we have to find the simplest form of the expression.

3sqrt(24a^{10}b^6)

=3(24^{\frac{1}{2}}a^{\frac{10}{2}}b^{\frac{6}{2}})

=3(24^{\frac{1}{2}}a^5b^3)

=6\sqrt6a^5b^3

which is the simplest form of the given expression.

wolverine [178]3 years ago
3 0
3√24a^10b^6 =
3*2*√6a^5b^3 =
6√6a^5b³.
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4 – (2y + 5) = 3(1 – 4y) show steps please
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Answer/Step-by-step explanation:

Let's solve your equation step-by-step.

4−(2y+5)=3(1−4y)

Step 1: Simplify both sides of the equation.

4−(2y+5)=3(1−4y)

4+−1(2y+5)=3(1−4y)(Distribute the Negative Sign)

4+−1(2y)+(−1)(5)=3(1−4y)

4+−2y+−5=3(1−4y)

4+−2y+−5=(3)(1)+(3)(−4y)(Distribute)

4+−2y+−5=3+−12y

(−2y)+(4+−5)=−12y+3(Combine Like Terms)

−2y+−1=−12y+3

−2y−1=−12y+3

Step 2: Add 12y to both sides.

−2y−1+12y=−12y+3+12y

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Step 3: Add 1 to both sides.

10y−1+1=3+1

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Step 4: Divide both sides by 10.

10y

10

=

4

10

y=

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5

Answer:

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