Dickson Adkins
10/21/2023 · Junior High School
Find the value of \( (3-\sqrt{2})^{3}+(3+\sqrt{2})^{3} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( (3-\sqrt(2))^3 + (3+\sqrt(2))^3 \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(3-\sqrt{2}\right)^{3}+\left(3+\sqrt{2}\right)^{3}\)
- step1: Evaluate the power:
\(45-29\sqrt{2}+\left(3+\sqrt{2}\right)^{3}\)
- step2: Evaluate the power:
\(45-29\sqrt{2}+45+29\sqrt{2}\)
- step3: Add the numbers:
\(90\)
El valor de \( (3-\sqrt{2})^{3}+(3+\sqrt{2})^{3} \) es 90.
Quick Answer
El valor de la expresión es 90.
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