Đáp án:

Giải thích các bước giải:

 ` 1) ( 3 )/( sqrt{ 2 } ) + ( sqrt{ 2 } )/( 3 ) `

` = ( 9sqrt{ 2 } )/( 6 ) + ( 2sqrt{ 2 } )/( 6 ) `

` = ( 11sqrt{ 2 } )/( 6 ) `

` 2) ( 5 )/( sqrt{ 2 } ) + ( sqrt{ 2 } )/( 2 ) `

` = ( 5sqrt{ 2 } )/( 2) + ( sqrt{ 2 } )/( 2 ) `

` = 3sqrt{ 2 } `

` 3) ( 1 )/( sqrt{ 2 } ) - ( sqrt{ 2 } )/( 3 )`

` = ( 3sqrt{ 2 } )/( 6 ) - ( 2sqrt{ 2 } )/( 6 ) `

` = ( sqrt{ 2 } )/( 6 ) `

` 4) ( 2 )/( sqrt{ 3 } ) + ( sqrt{ 3 } )/( 2 ) `

` = ( 4sqrt{ 3 } )/( 6 ) + ( 3sqrt{ 3 } )/( 6 ) `

` = ( 7sqrt{ 3 } )/( 6 ) `

` 5) ( 5 )/( sqrt{ 2 } ) - ( 5sqrt{ 2 } )/( 3 ) `

` = ( 15sqrt{ 2 } )/( 6 ) - ( 10sqrt{ 2 } )/( 6 ) `

` = ( 5sqrt{ 2 } )/( 6 ) `

` 6) ( 3 )/( sqrt{ 2 } ) + 4sqrt{ 2 } `

` = ( 3sqrt{ 2 } )/( 2 ) + 4sqrt{ 2 } `

` = ( 11sqrt{ 2 } )/( 2 ) `

` 7) ( 3 )/( 2sqrt{ 5 } ) + ( sqrt{ 5 } )/( 2 ) `

` = ( 3sqrt{ 5 } )/( 10 ) + ( sqrt{ 5 } )/( 2 ) `

` = ( 4sqrt{ 5 } )/( 5 ) `

`8) ( 10 )/( sqrt{ 5 ) + sqrt{ 5 } `

` = ( 10sqrt{ 5 } )/( 5 ) + sqrt{ 5 } `

` = 3sqrt{ 5 } `

` 9) ( 30 )/( sqrt{ 10 ) + sqrt{ 10 } `

` = ( 30sqrt{ 10 } )/( 10 ) + sqrt{ 10 } `

` = 4sqrt{ 10 } `

` 10) ( 2 )/( sqrt{ 20 } ) - ( sqrt{ 20 } )/( 5 ) `

` = 2sqrt{ 5 } : ( 2 )/( 2sqrt{ 5 } ) - ( 2sqrt{ 5 } )/( 5 ) `

` = ( 1 )/( sqrt{ 5 } ) - ( 2sqrt{ 5 } )/( 5 } `

` = -( sqrt{ 5 } )/( 5 ) `

` 11) 3sqrt{ 2 } + 1/2sqrt{ 2 } + ( 1 )/( sqrt{ 2 } `

` = 3sqrt{ 2 } + sqrt{ 2 } `

` = 4sqrt{ 2 } `

` 12) 3sqrt{ 3 } + 1/2sqrt{ 3 } + ( 1 )/( sqrt{ 3 } ) `

` = ( 3 + 1/2 + 1/3 )sqrt{ 3 } `

` = ( 23sqrt{ 3 } )/( 6 ) `

` 13) 3sqrt{ 5 } - 1/2sqrt{ 5 } + ( 1 )/( sqrt{ 5 } ) `

` = ( 3 - 1/2 + 1/5 )sqrt{ 5 } `

` = ( 27sqrt{ 5 } )/( 10 ) `

` 14) 3sqrt{ 3 } - 4/3sqrt{ 3 }+ ( 1 )/( sqrt{ 3 } ) `

` = ( 3 - 4/3 + 1/3 )sqrt{ 3 } `

` = 2sqrt{ 3 } `

$#love-ends $