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( √(40) )/( √(3) ) ​
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( √(40) )/( √(3) )
​

User Ekow
by
7.9k points

1 Answer

9 votes

Answer:


( √(40) )/( √(3) ) =(2√(30) )/( 3 )

Explanation:

Given


( √(40) )/( √(3) )

Required

Simplify


( √(40) )/( √(3) )

Rationalize:


( √(40) )/( √(3) ) =( √(40) )/( √(3) )*( √(3) )/( √(3) )


( √(40) )/( √(3) ) =( √(40*3) )/( √(3*3) )


( √(40) )/( √(3) ) =( √(120) )/( √(9) )


( √(40) )/( √(3) ) =( √(120) )/( 3 )

Expand the numerator


( √(40) )/( √(3) ) =( √(4*30) )/( 3 )


( √(40) )/( √(3) ) =( √(4)*√(30) )/( 3 )


( √(40) )/( √(3) ) =( 2*√(30) )/( 3 )


( √(40) )/( √(3) ) =(2√(30) )/( 3 )

User Youcantryreachingme
by
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