If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the (2024)

If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the (1)

Danou

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If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the (2)

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If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the[#permalink]27 Apr 2024, 17:40

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If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the (14)

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If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the (15)If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the (16)If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the (17)25%(medium)

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83%(01:20)correctIf x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the (18)17%(01:25) wrongIf x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the (19)based on18sessions

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­If \(x = 4\sqrt{3 }\) and \(y=3\sqrt{5}\)­, which of the following is the value of \(\frac{x^4 - y^4 }{ x^2 - y^2}\) ?

A. -93
B. -3
C. 3
D. 27
E. 93

­

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If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the (21)

B

cric_fan

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If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the (22)

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Posts: 21

Location: India

Schools: HEC Jan'24 Intake (S) INSEAD Jan'25 intake (D) IMD (D) SDA Bocconi'25 (I)

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Re: If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the[#permalink]27 Apr 2024, 21:32

(x^4-y^4)/(x^2-y^2) = x^2 + y^2

x^2 = 16*3 = 48
y^2 = 9*5 = 45

Therefore, x^2 + y^2 = 93

Posted from my mobile device

If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the (24)

Danou

Intern

If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the (25)

Joined: 14 Feb 2024

Posts: 11

Re: If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the[#permalink]27 Apr 2024, 21:40

cric_fan wrote:

(x^4-y^4)/(x^2-y^2) = x^2 + y^2

x^2 = 16*3 = 48
y^2 = 9*5 = 45

Therefore, x^2 + y^2 = 93

Posted from my mobile device

­Thank you, I am not sure I understdand. I ended up with:
(x^4-y^4)/(x^2-y^2) = x^2 - y^2

x^2 = 16*3 = 48
y^2 = -9*5 = -45

If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the (27)

B

cric_fan

Intern

If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the (28)

Joined: 06 Aug 2023

Posts: 21

Location: India

Schools: HEC Jan'24 Intake (S) INSEAD Jan'25 intake (D) IMD (D) SDA Bocconi'25 (I)

GMAT Focus 1:
685 Q90 V80 DI82

GMAT 1: 690 Q50 V33

GPA: 4

Re: If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the[#permalink]27 Apr 2024, 21:44

Danou wrote:

cric_fan wrote:

(x^4-y^4)/(x^2-y^2) = x^2 + y^2

x^2 = 16*3 = 48
y^2 = 9*5 = 45

Therefore, x^2 + y^2 = 93

Posted from my mobile device

­Thank you, I am not sure I understdand. I ended up with:
(x^4-y^4)/(x^2-y^2) = x^2 - y^2

x^2 = 16*3 = 48
y^2 = -9*5 = -45

(x^4-y^4) = (x^2-y^2)* (x^2+y^2)

Therefore, (x^4-y^4)/(x^2-y^2) = (x^2-y^2)* (x^2+y^2)/(x^2-y^2) = (x^2+y^2)

Hope that helps

If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the (30)

L

GMATinsight

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If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the (31)

Joined: 08 Jul 2010

Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator

Posts: 5969

Location: India

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Schools: IIM (A) ISB '24

GMAT 1: 750 Q51 V41

WE:Education (Education)

If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the[#permalink]28 Apr 2024, 05:25

1

Kudos

Expert Reply

Danou wrote:

­If \(x = 4\sqrt{3 }\) and \(y=3\sqrt{5}\)­, which of the following is the value of \(\frac{x^4 - y^4 }{ x^2 - y^2}\) ?

A. -93
B. -3
C. 3
D. 27
E. 93

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Attachment:

Capture question.JPG

­

­\(x = 4\sqrt{3 }\) and \(y=3\sqrt{5}\)­

\(\frac{x^4 - y^4 }{ x^2 - y^2} = \frac{(x^2 - y^2)*(x^2 + y^2) }{ x^2 - y^2} = (x^2 + y^2)\)

\((x^2 + y^2) = (4√3)^2 + (3√5)^2) = 16*3 + 9*5 = 93\)

Answer: Option E
---

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If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the (34)

gmatclubot

If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the[#permalink]

28 Apr 2024, 05:25

If x = 4^3^(1/2) and y = 3*5^(1/2) , which of the following is the (2024)

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