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мол0дец
@мол0дец
July 2022
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(√108*√600)÷√675
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ILoveSushi
1) √ 108 * √ 600 = √ ( 36 * 3) * √ ( 100 * 6) = ( 6 √ 3 ) * ( 10 √ 6) = 60 √ 18 =
= 60 √ ( 9 * 2 ) = ( 60 * 3 ) √ 2 = 180 √ 2
------------------------------------------------
2) √ 675 = √ ( 25 * 27 ) = √ ( 25 * 9 * 3 ) = ( 5 * 3 ) √ 3 = 15 √ 3
---------------------------------------------
3) 180 √ 2 : 15 √ 3 = ( 180 : 15 ) √ ( 2/3 ) = 12 √ 2/3 = √ ( 144 * 2 ) / 3 = √ 96 =
= √ ( 16 * 6) = 4 √ 6
--------------------------------------------------
Ответ 4 √ 6
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Answers & Comments
= 60 √ ( 9 * 2 ) = ( 60 * 3 ) √ 2 = 180 √ 2
------------------------------------------------
2) √ 675 = √ ( 25 * 27 ) = √ ( 25 * 9 * 3 ) = ( 5 * 3 ) √ 3 = 15 √ 3
---------------------------------------------
3) 180 √ 2 : 15 √ 3 = ( 180 : 15 ) √ ( 2/3 ) = 12 √ 2/3 = √ ( 144 * 2 ) / 3 = √ 96 =
= √ ( 16 * 6) = 4 √ 6
--------------------------------------------------
Ответ 4 √ 6