If y > 0, which of the following is equal to sq.48y^3
(A) 4y sq. rt. 3y
(B) 3y sq. rt 4y
(C) 2 sq rt 12y
(D) 3 sq rt 8y
(E) 16y sq rt 3y
square roots
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If y > 0, which of the following is equal to sq.48y^3
Answer:
(A) 4y sq. rt. 3y
sqrt(48 * y^3)
= sqrt(16 * 3 * y ^2 * y)
= sqrt(16) * sqrt(3) * sqrt(y ^2) * sqrt(y)
= 4 * sqrt(3) * y * sqrt(y)
= 4y sqrt(3*y)
Answer:
(A) 4y sq. rt. 3y
sqrt(48 * y^3)
= sqrt(16 * 3 * y ^2 * y)
= sqrt(16) * sqrt(3) * sqrt(y ^2) * sqrt(y)
= 4 * sqrt(3) * y * sqrt(y)
= 4y sqrt(3*y)