Nadiyatul H

07 September 2025 05:59

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Nadiyatul H

07 September 2025 05:59

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Neonkarll N

07 September 2025 06:34

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Nadiyatul H

07 September 2025 06:38

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08 September 2025 02:59

<p>a. √5/(6√15) = √5/(6√15) x √15/√15</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = √75/90</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = (5√3)/90</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 1/18 √3</p><p>&nbsp;</p><p>b. 5/(√12 - 3) = 5/(√12 - 3) x (√12 + 3)/(√12 + 3)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 5(√12 + 3) / (12 - 9)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 5(√12 + 3)/3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 5(2√3 + 3)/3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (10√3 + 15)/3 &nbsp; atau</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 1/3 (10√3 + 15)</p>

a. √5/(6√15) = √5/(6√15) x √15/√15

                          = √75/90

                          = (5√3)/90

                          = 1/18 √3

 

b. 5/(√12 - 3) = 5/(√12 - 3) x (√12 + 3)/(√12 + 3)

                           = 5(√12 + 3) / (12 - 9)

                           = 5(√12 + 3)/3

                           = 5(2√3 + 3)/3

                           = (10√3 + 15)/3   atau

                           = 1/3 (10√3 + 15)


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