Write whether (2 root 45 + 3 root 2)/2 root 5 on simplification gives a rational or an irrational number
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Hi ,
( 2√45 + 3√2 )/2√5
= [ 2√(3×3×5) + 3√2 ]/2√5
= ( 6√5 + 3√2)/ 2√5
= 6√5/2√5 + 3√2/2√5
= 1 + ( 3√2 × √5 )/ ( 2√5×√5 )
= 1 + ( 3√10 )/10
Irrational number
I hope this helps you.
: )
( 2√45 + 3√2 )/2√5
= [ 2√(3×3×5) + 3√2 ]/2√5
= ( 6√5 + 3√2)/ 2√5
= 6√5/2√5 + 3√2/2√5
= 1 + ( 3√2 × √5 )/ ( 2√5×√5 )
= 1 + ( 3√10 )/10
Irrational number
I hope this helps you.
: )
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