Question

square root of 289/169 by division method

Answer 1

HEY FRIEND UR ANSWER IS
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sq. of289/169=17*17/13*13=17/13

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and mrk brainliest

Answer 2

[ first of all we need to bring the sq. root of 289 & 169 by long division method ( refer to the attachment ), show the division method ]

[ To find the sq. root of any number. Take 289 as example,

• the first step is to divide the number in pairs of 2 each from right hand side i.e. ‘2’ and ‘89’ are pairs.

• Then divide the numbers according to the pairs.

NOTE : after dividing every number multiply the quotient by 2

• Divide it until the remainder comes zero.

NOTE : Numbers ending with 2,3,7 & 8 are not perfect square.

• The quotient is the answer or the sq. root ]


[ so, lets come back to your question ]

$\sqrt{ \frac{289}{169} } \\ = \sqrt{ \frac{1 7\times17 }{13 \times 13} } \\ \ = \frac{17}{13}$


$so \: \sqrt{\frac{289}{169} } = \frac{17}{13}$


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