Griffiths Bob
01/18/2023 · Middle School
араота́бєıц: в) \( \sqrt{86+2 \sqrt{52-\sqrt{9}}} \)
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Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( \sqrt{86+2 \sqrt{52-\sqrt{9}}} \).
Calculate the value by following steps:
- step0: Calculate:
\(\sqrt{86+2\sqrt{52-\sqrt{9}}}\)
- step1: Simplify the root:
\(\sqrt{86+2\sqrt{52-3}}\)
- step2: Subtract the numbers:
\(\sqrt{86+2\sqrt{49}}\)
- step3: Simplify the root:
\(\sqrt{86+2\times 7}\)
- step4: Multiply the numbers:
\(\sqrt{86+14}\)
- step5: Add the numbers:
\(\sqrt{100}\)
- step6: Write in exponential form:
\(\sqrt{10^{2}}\)
- step7: Simplify the root:
\(10\)
The value of the expression \( \sqrt{86+2 \sqrt{52-\sqrt{9}}} \) is 10.
Quick Answer
The value is 10.
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