Divide 16√75 by5√12
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Answered by
1
Answer:
8
Step-by-step explanation:
16√75 = 16 × √( 25 × 3 ) = 16 × √25 × √3 = 16 × 5 × √3
5√12 = 5 × √( 4 × 3 ) = 5 × √4 × √3 = 5 × 2 × √3
Doing the division gives
16√75 / 5√12
= ( 16 × 5 × √3 ) / ( 5 × 2 × √3 )
= 16 / 2 [ the 5 and the √3 cancel from numerator and denominator]
= 8
Hope this helps!
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