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# If y > 0,which of the following is equal to (48y^3)^(1/2) ?

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If y > 0,which of the following is equal to (48y^3)^(1/2) ?  [#permalink]

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Updated on: 23 Dec 2018, 03:19
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Question Stats:

85% (00:56) correct 15% (01:28) wrong based on 125 sessions

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If y > 0 , which of the following is equal to $$\sqrt{48y^3}$$?

(A) $$4y\sqrt{3y}$$

(B) $$3y \sqrt{4y}$$

(C) $$2 \sqrt{12y}$$

(D) $$3 \sqrt{8y}$$

(E) $$16y\sqrt{3y}$$

Originally posted by KSBGC on 05 Aug 2018, 05:12.
Last edited by Bunuel on 23 Dec 2018, 03:19, edited 1 time in total.
Renamed the topic and edited the question.
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Re: If y > 0,which of the following is equal to (48y^3)^(1/2) ?  [#permalink]

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05 Aug 2018, 06:15
selim wrote:
If y>0 , which of the following is equal to $$\sqrt{48y^3}$$?

A) 4y$$\sqrt{3y}$$

B) 3y$$\sqrt{4y}$$

C) 2$$\sqrt{12y}$$

D) 3$$\sqrt{8y}$$

E) 16y$$\sqrt{3y}$$

$$\sqrt{48y^3}$$
=$$\sqrt{48}*\sqrt{y^3}$$
=$$\sqrt{48}*(y^3)^{\frac{1}{2}}$$
=$$\sqrt{48}*y^{\frac{3}{2}}$$
=$$4\sqrt{3}*y^{(1+\frac{1}{2})}$$
=$$4\sqrt{3}*y*y^{\frac{1}{2}}$$
=$$4\sqrt{3}*y*\sqrt{y}$$
=$$4y*\sqrt{3}*\sqrt{y}$$
=$$4y\sqrt{3y}$$

Ans. (A)
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Re: If y > 0,which of the following is equal to (48y^3)^(1/2) ?  [#permalink]

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05 Aug 2018, 07:29
1
selim wrote:
If y>0 , which of the following is equal to $$\sqrt{48y^3}$$?

A) 4y$$\sqrt{3y}$$

B) 3y$$\sqrt{4y}$$

C) 2$$\sqrt{12y}$$

D) 3$$\sqrt{8y}$$

E) 16y$$\sqrt{3y}$$

$$\sqrt{48y^3}=\sqrt{(4*4)*3*(y*y)*y}$$
-- $$\sqrt{4*4}=4$$
-- $$\sqrt{y*y}=y$$
-- $$\sqrt{3*y}$$ cannot be simplified. Those two terms remain underneath the radical.

$$\sqrt{48y^3}=4*y*\sqrt{3*y}=4y\sqrt{3y}$$

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If y > 0, which of the following is equal to (48y^3)^1/2?  [#permalink]

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22 Dec 2018, 08:40
If $$y > 0$$, which of the following is equal to $$\sqrt{48y^3}$$?

(A) $$4y\sqrt{3y}$$
(B) $$3y\sqrt{4y}$$
(e) $$2\sqrt{12y}$$
(D) $$3\sqrt{8y}$$
(E) $$16y\sqrt{3y}$$

Project PS Butler : Question #94

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Re: If y > 0, which of the following is equal to (48y^3)^1/2?  [#permalink]

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22 Dec 2018, 08:58
OA -A
on splitting the number inside the square into perfect square we get 4y out of square and 3y inside the root

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If y > 0, which of the following is equal to (48y^3)^1/2?  [#permalink]

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22 Dec 2018, 14:58
HKD1710 wrote:
If $$y > 0$$, which of the following is equal to $$\sqrt{48y^3}$$?

(A) $$4y\sqrt{3y}$$
(B) $$3y\sqrt{4y}$$
(e) $$2\sqrt{12y}$$
(D) $$3\sqrt{8y}$$
(E) $$16y\sqrt{3y}$$

Project PS Butler : Question #94

$$\sqrt{48y^3}$$

=$$\sqrt{16*3*y^2*y}$$

=4y $$\sqrt{3y}$$

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Posts: 57237
Re: If y > 0,which of the following is equal to (48y^3)^(1/2) ?  [#permalink]

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23 Dec 2018, 03:21
HKD1710 wrote:
If $$y > 0$$, which of the following is equal to $$\sqrt{48y^3}$$?

(A) $$4y\sqrt{3y}$$
(B) $$3y\sqrt{4y}$$
(e) $$2\sqrt{12y}$$
(D) $$3\sqrt{8y}$$
(E) $$16y\sqrt{3y}$$

Project PS Butler : Question #94

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Merging topics.
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Re: If y > 0,which of the following is equal to (48y^3)^(1/2) ?   [#permalink] 23 Dec 2018, 03:21
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