Math, asked by rajramesh860, 4 months ago

1859/x=x/275 What will come in the place of x variable​

Answers

Answered by MaheswariS
3

\underline{\textbf{Given:}}

\mathsf{\dfrac{1859}{x}=\dfrac{x}{275}}

\underline{\textbf{To find:}}

\textsf{The value of x}

\underline{\textbf{Solution:}}

\mathsf{Consider,}

\mathsf{\dfrac{1859}{x}=\dfrac{x}{275}}

\implies\mathsf{x^2=1859{\times}275}

\implies\mathsf{x^2=11{\times}13{\times}13{\times}11{\times}5{\times}5}

\implies\mathsf{x^2=11^2{\times}13^2{\times}5^2}

\implies\mathsf{x=\sqrt{11^2{\times}13^2{\times}5^2}}

\implies\mathsf{x=11{\times}13{\times}5}

\implies\mathsf{x=11{\times}65}

\implies\boxed{\mathsf{x=715}}

\underline{\textbf{Find more:}}

Find out square root 189225​

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