7 under root 3 - 5 root 2 divided by root 48 + root 18
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Hi ,
1 ) √ 48 = √ 4 × 4 × 3 = 4√3
2 ) √ 18 = √ 3 × 3 × 2 = 3√2
Now ,
( 7√3 - 5√2 ) / ( √48 + √ 18 )
= ( 7√3 - 5√2 ) / ( 4√3 + 3√2 )
= (7√3-5√2)(4√3-3√2)/[(4√3+3√2)(4√3-3√2)]
= (84-21√6-20√6+30)/[(4√3)²-(3√2)²]
= ( 114-41√6 ) / ( 48 - 18 )
= ( 114 - 41√6 ) /30
I hope this helps you.
: )
1 ) √ 48 = √ 4 × 4 × 3 = 4√3
2 ) √ 18 = √ 3 × 3 × 2 = 3√2
Now ,
( 7√3 - 5√2 ) / ( √48 + √ 18 )
= ( 7√3 - 5√2 ) / ( 4√3 + 3√2 )
= (7√3-5√2)(4√3-3√2)/[(4√3+3√2)(4√3-3√2)]
= (84-21√6-20√6+30)/[(4√3)²-(3√2)²]
= ( 114-41√6 ) / ( 48 - 18 )
= ( 114 - 41√6 ) /30
I hope this helps you.
: )
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