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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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