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Simplify 4 sqrt( ) 75 20 sqrt(3) 4 sqrt(5) 7 sqrt(3) 12 sqrt(5)

Problemas

Simplify 4 sqrt( ) 75 
 20 sqrt(3) 
 4 sqrt(5) 
 7 sqrt(3) 
 12 sqrt(5)

Simplify 4 sqrt( ) 75 20 sqrt(3) 4 sqrt(5) 7 sqrt(3) 12 sqrt(5)

Solución

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Danielmaestro · Tutor durante 5 años
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To simplify the expression 4√75, we need to find the largest perfect square that divides 75.<br /><br />The largest perfect square that divides 75 is 25.<br /><br />So, we can rewrite 4√75 as 4√(25 * 3).<br /><br />Now, we can simplify the square root of 25, which is 5.<br /><br />Therefore, 4√75 simplifies to 4 * 5√3, which is 20√3.<br /><br />So, the correct answer is $20\sqrt {3}$.
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