How to subtract square roots - GRE Quantitative Reasoning

Begin by breaking down each of the roots in question. Often, for the GRE, your answer arises out of doing such basic "simplification moves".

Quantity A

This is the same as:

, which can be reduced to:

Quantity B

This is the same as:

, which can be reduced to:

Now, since we know that must be greater than , we know that . Therefore, quantity A is larger.

As always for comparison questions, work on getting your quantities explicit. In order to do this in this case, you must factor the roots.

Quantity A

This can be factored into:

Quantity B

This can be factored into:

This makes the comparison very easy! Since is a larger number than , we know that is a smaller value than . Therefore, Quantity B is larger.

Begin by subtracting from both sides:

This simplifies to:

Now, while you could square both sides, you also know that merely needs to be the same as the value under the other radical. This means that it is —simply and quickly! (Always work to save time on the exam!)

Begin by breaking down each of the roots in question. Often, for the GRE, your answer arises out of doing such basic "simplification moves".

Quantity A

This is the same as:

, which can be reduced to:

Quantity B

This is the same as:

, which can be reduced to:

Now, since we know that must be greater than , we know that . Therefore, quantity A is larger.

As always for comparison questions, work on getting your quantities explicit. In order to do this in this case, you must factor the roots.

Quantity A

This can be factored into:

Quantity B

This can be factored into:

This makes the comparison very easy! Since is a larger number than , we know that is a smaller value than . Therefore, Quantity B is larger.

Begin by subtracting from both sides:

This simplifies to:

Now, while you could square both sides, you also know that merely needs to be the same as the value under the other radical. This means that it is —simply and quickly! (Always work to save time on the exam!)

Begin by breaking down each of the roots in question. Often, for the GRE, your answer arises out of doing such basic "simplification moves".

Quantity A

This is the same as:

, which can be reduced to:

Quantity B

This is the same as:

, which can be reduced to:

Now, since we know that must be greater than , we know that . Therefore, quantity A is larger.

As always for comparison questions, work on getting your quantities explicit. In order to do this in this case, you must factor the roots.

Quantity A

This can be factored into:

Quantity B

This can be factored into:

This makes the comparison very easy! Since is a larger number than , we know that is a smaller value than . Therefore, Quantity B is larger.

Begin by subtracting from both sides:

This simplifies to:

Now, while you could square both sides, you also know that merely needs to be the same as the value under the other radical. This means that it is —simply and quickly! (Always work to save time on the exam!)

Begin by breaking down each of the roots in question. Often, for the GRE, your answer arises out of doing such basic "simplification moves".

Quantity A

This is the same as:

, which can be reduced to:

Quantity B

This is the same as:

, which can be reduced to:

Now, since we know that must be greater than , we know that . Therefore, quantity A is larger.

As always for comparison questions, work on getting your quantities explicit. In order to do this in this case, you must factor the roots.

Quantity A

This can be factored into:

Quantity B

This can be factored into:

This makes the comparison very easy! Since is a larger number than , we know that is a smaller value than . Therefore, Quantity B is larger.

Begin by breaking down each of the roots in question. Often, for the GRE, your answer arises out of doing such basic "simplification moves".

Quantity A

This is the same as:

, which can be reduced to:

Quantity B

This is the same as:

, which can be reduced to:

Now, since we know that must be greater than , we know that . Therefore, quantity A is larger.

Begin by subtracting from both sides:

This simplifies to:

Now, while you could square both sides, you also know that merely needs to be the same as the value under the other radical. This means that it is —simply and quickly! (Always work to save time on the exam!)

As always for comparison questions, work on getting your quantities explicit. In order to do this in this case, you must factor the roots.

Quantity A

This can be factored into:

Quantity B

This can be factored into:

This makes the comparison very easy! Since is a larger number than , we know that is a smaller value than . Therefore, Quantity B is larger.

Begin by breaking down each of the roots in question. Often, for the GRE, your answer arises out of doing such basic "simplification moves".

Quantity A

This is the same as:

, which can be reduced to:

Quantity B

This is the same as:

, which can be reduced to:

Now, since we know that must be greater than , we know that . Therefore, quantity A is larger.

Begin by subtracting from both sides:

This simplifies to:

Now, while you could square both sides, you also know that merely needs to be the same as the value under the other radical. This means that it is —simply and quickly! (Always work to save time on the exam!)

As always for comparison questions, work on getting your quantities explicit. In order to do this in this case, you must factor the roots.

Quantity A

This can be factored into:

Quantity B

This can be factored into:

This makes the comparison very easy! Since is a larger number than , we know that is a smaller value than . Therefore, Quantity B is larger.

Begin by breaking down each of the roots in question. Often, for the GRE, your answer arises out of doing such basic "simplification moves".

Quantity A

This is the same as:

, which can be reduced to:

Quantity B

This is the same as:

, which can be reduced to:

Now, since we know that must be greater than , we know that . Therefore, quantity A is larger.

Begin by subtracting from both sides:

This simplifies to:

Now, while you could square both sides, you also know that merely needs to be the same as the value under the other radical. This means that it is —simply and quickly! (Always work to save time on the exam!)