Mathematics, 13.06.2021 07:20 marahsenno

Can anyone help me solve this

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Answer from: CuteDoggo1828

$\longrightarrow{\green{ D. \:3 {a}^{4} \sqrt{2a} }}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

$\sqrt{18 {a}^{9} } \\ \\ ➝ \: \sqrt{2 \times 3 \times 3 \times {a}^{9} } \\ \\ ➝ \: \sqrt{2 \times ({3})^{2} \times {( {a}^{4}) }^{2} a } \\ \\ [∵( { {a}^{4} )}^{2} a = {a}^{4 \times 2 + 1} = {a}^{9}] \\ \\ ➝ \: 3 \times {a}^{4} \sqrt{2a} \\ \\ ➝ \: 3 {a}^{4} \sqrt{2a}$

$\pink{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}$

Answer from: batmanmarie2004

The answer is $3a^{4}\sqrt{2a}$

Step-by-step explanation:

To simplify the radical, start by factoring 9 out of 18 for step 1. Next, for step 2, rewrite 9 as $3^{2}$ . Then, factor out $a^{8}$ for step 3. For step 4, rewrite $a^{8}$ as $(a^{4})^{2}$ . Then, for step 5, move the 2 in the radical. Rewrite $3^{2}(a^{4})^{2}$ as $(3a^{4})^{2}$ for step 6. Then, add parentheses to the radical for step 7. Finally, for step 8 pull the terms out from under the radical, and the answer is $3a^{4}\sqrt{2a}$ .

Step 1: $\sqrt{9(2)a^{9} }$

Step 2: $\sqrt{3^{2}*2a^{9}$

Step 3: $\sqrt{3^{2}*2(a^{8}a) }$

Step 4: $\sqrt{3^{2}*2((a^{4})^{2}) }$

Step 5: $\sqrt{3^{2}(a^{4})^{2}*2a }$

Step 6: $\sqrt{(3a^{4} )^{2}*2a }$

Step 7: $\sqrt{(3a^{4})^{2}*(2a) }$

Step 8: $3a^{4}\sqrt{2a}$

Answer from: Quest

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743

Answer from: Quest

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

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