Math, asked by kavinmohanvenkat475, 2 months ago

Write in simplified form  4√16+8  3√125 - 6 5√243+ √144

Answers

Answered by MaheswariS
1

\textbf{Given:}

\mathsf{\sqrt[4]{16}+8\sqrt[3]{125}-6\sqrt[5]{243}+\sqrt{144}}

\textbf{To find:}

\textsf{Simplified form of}

\mathsf{\sqrt[4]{16}+8\sqrt[3]{125}-6\sqrt[5]{243}+\sqrt{144}}

\textbf{Solution:}

\textsf{Consider,}

\mathsf{\sqrt[4]{16}+8\sqrt[3]{125}-6\sqrt[5]{243}+\sqrt{144}}

\mathsf{=\sqrt[4]{2^4}+8\sqrt[3]{5^3}-6\sqrt[5]{3^5}+\sqrt{12^2}}

\mathsf{Using,}\;\;\mathsf{\sqrt[n]{a^n}=a}

\mathsf{=2+8(5)-6(3)+12}

\mathsf{=2+40-18+12}

\mathsf{=54-18}

\mathsf{=36}

\implies\mathsf{\sqrt[4]{16}+8\sqrt[3]{125}-6\sqrt[5]{243}+\sqrt{144}=36}

\textbf{Find more:}

Simplify 4 root 3/2-root 2-30/4root3-3root2-3 root 2/3+2 root 3

https://brainly.in/question/16519383

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