Add: [(24+3sqrt(11))] and [(−4+12sqrt(11))] Choose 1 answer: A [−28+15sqrt(11)] B [20+15sqrt(11)] C…

Question

Add: [(24+3sqrt(11))] and [(−4+12sqrt(11))] Choose 1 answer: A [−28+15sqrt(11)] B [20+15sqrt(11)] C [28+15sqrt(11)] D [−20+15sqrt(11)] Related content

ScanSolve AI Tutor · Accepted Answer

To add the two expressions, we combine the constant terms and the terms containing $\sqrt{11}$ separately.

Write out the addition.
$(24+3\sqrt{11}) + (-4+12\sqrt{11})$
Group the like terms.
$(24 - 4) + (3\sqrt{11} + 12\sqrt{11})$
Add the constant terms.
$24 - 4 = 20$
Add the terms with $\sqrt{11}$ .
$3\sqrt{11} + 12\sqrt{11} = (3+12)\sqrt{11} = 15\sqrt{11}$
Combine the results.
$20 + 15\sqrt{11}$

Add: \[(24+3sqrt(11))\] and \[(-4+12sqrt(11))\] Choose 1 answer: A \[-28+15sqrt(11)\] B \[20+15sqrt(11)\] C \[28+15sqrt(11)\] D \[-20+15sqrt(11)\] Related content

Answer

Step-by-step solution

Write out the addition.

Group the like terms.

Add the constant terms.

Add the terms with $\sqrt{11}$ .

Combine the results.

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