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3 years ago

Combine and simplify the following radical expression. 3^ square root 6 x 3^ square root 4

Mathematics

1 answer:

xeze [42]3 years ago

8 0

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${3}^{ \sqrt{6} } \times {3}^{ \sqrt{4} } =$

${3}^{ \sqrt{6} } \times {3}^{2} =$

${3}^{ \sqrt{6} + 2 } = {3}^{2 + \sqrt{6} }$

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3 years ago

Use the value of the first integral I to evaluate the two given integrals. I = integral^3_0 (x^3 - 4x)dx = 9/4 A. integral^3_0 (

Troyanec [42]

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B) 9/4

C) -9/2, same as A)

Step-by-step explanation:

We are given that $I=\int_0^3 x^3-4x dx=9/4$ . We use the properties of integrals to write the new integrals in terms of I.

A) $\int_0^3 8x-2x^3 dx=\int_0^3 -2(x^3-4x) dx=-2\int_0^3 x^3-4x dx=-2I=-9/2$ . We have used that ∫cf dx=c∫f dx.

B) $\int_3^0 4x - x^3 dx=-\int_0^3 (4x-x^3) dx=\int_0^3-(4x-x^3) dx=\int_0^3 x^3-4x dx=I=9/4$ . Here we used that reversing the limits of integration changes the sign of the integral.

C) It's the same integral in A)

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3 years ago

Combine and simplify the following radical expression. 3^ square root 6 x 3^ square root 4​

Combine and simplify the following radical expression. 3^ square root 6 x 3^ square root 4