Math, asked by shrivathsanarayan, 1 month ago

find the square root of 441/1849​

Answers

Answered by BrainlySparrow
105

Step-by-step explanation:

Question :-

Find the square root of 441/1849.

Solution :-

 \displaystyle{ \implies \sf{ \sqrt{ \frac{441}{1849} } }}

  • Finding the factors.

 \red{ \longmapsto \bf{Prime \:  Factorisation \:  of \:  441 :  }}

\begin{array}{c|c} {\underline{\sf{3}}}&{\underline{\sf{\:\:441\:\:}}}\\ {\underline{\sf{3}}}& \underline{\sf{\:\:147\:\:}} \\ {\underline{\sf{7}}}& \underline{\sf{\:\:49\:\:}}  \\  {\underline{\sf{7}}}  &{\underline{\sf{\:\:7\:\:}}} \\\underline{\sf{}}&{\sf{\:\:1 \:\:}} \end{array}

 \red{ \mapsto \bf{Prime\:  Factorisation \:  of \:  1849 :  }}

\begin{array}{c|c} {\underline{\sf{43}}}&{\underline{\sf{\:\:1849\:\:}}}\\ {\underline{\sf{43}}}& \underline{\sf{\:\:43\:\:}} \\\underline{\sf{}}&{\sf{\:\:1 \:\:}} \end{array}

 \displaystyle{ \implies \sf{ \sqrt{ \frac{  \pink{\{{3 \times 3 \}} }\times  \blue{ \{{7 \times 7 \}}}}{ \red{ \{43 \times 43 \}}} } }}

 \displaystyle{ \implies \sf{ \sqrt{ \frac{3 \times 7}{43} } }}

 \displaystyle{ \implies \sf{ { \frac{21}{43} } }}

Hence,

 \displaystyle{ \implies \:  \sqrt{ \frac{441}{1849} }  =  \sf{ {  \green{\frac{21}{43} } }}}

Answered by jalamdurgajalam
0

Step-by-step explanation:

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