Turner Bond
09/19/2023 · Elementary School
c) \( \sqrt{10.2-12: 3}+\left(8^{2}+8^{0}\right):(-5)-(2-6)^{2}= \)
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Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( \sqrt(10.2-12/3)+(8^2+8^0)/(-5)-(2-6)^2 \).
Calculate the value by following steps:
- step0: Calculate:
\(\sqrt{10.2-\frac{12}{3}}+\frac{\left(8^{2}+8^{0}\right)}{\left(-5\right)}-\left(2-6\right)^{2}\)
- step1: Evaluate the power:
\(\sqrt{10.2-\frac{12}{3}}+\frac{\left(8^{2}+1\right)}{\left(-5\right)}-\left(2-6\right)^{2}\)
- step2: Remove the parentheses:
\(\sqrt{10.2-\frac{12}{3}}+\frac{8^{2}+1}{-5}-\left(2-6\right)^{2}\)
- step3: Subtract the numbers:
\(\sqrt{10.2-\frac{12}{3}}+\frac{8^{2}+1}{-5}-\left(-4\right)^{2}\)
- step4: Divide the terms:
\(\sqrt{10.2-4}+\frac{8^{2}+1}{-5}-\left(-4\right)^{2}\)
- step5: Subtract the numbers:
\(\sqrt{6.2}+\frac{8^{2}+1}{-5}-\left(-4\right)^{2}\)
- step6: Add the numbers:
\(\sqrt{6.2}+\frac{65}{-5}-\left(-4\right)^{2}\)
- step7: Simplify the root:
\(\frac{\sqrt{155}}{5}+\frac{65}{-5}-\left(-4\right)^{2}\)
- step8: Divide the terms:
\(\frac{\sqrt{155}}{5}-13-\left(-4\right)^{2}\)
- step9: Evaluate the power:
\(\frac{\sqrt{155}}{5}-13-16\)
- step10: Subtract the numbers:
\(\frac{\sqrt{155}}{5}-29\)
- step11: Reduce fractions to a common denominator:
\(\frac{\sqrt{155}}{5}-\frac{29\times 5}{5}\)
- step12: Calculate:
\(\frac{\sqrt{155}}{5}-\frac{145}{5}\)
- step13: Transform the expression:
\(\frac{\sqrt{155}-145}{5}\)
La expresión \( \sqrt{10.2-12/3}+(8^2+8^0)/(-5)-(2-6)^2 \) es aproximadamente igual a -26.51002.
Quick Answer
La expresión es aproximadamente igual a -26.51002.
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