Question

if x and y are two perfect squares then the HCF of x and y

Answer 1

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if x and y are two perfect squares then the HCF of x and y

Options:-

A. x^2

B. xy

C. 4x

D. x+y

E. x^5

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Since x and y are perfect squares, we can write:

x=n² and y=m², for some integers m and n.

Let's evaluate the options now:

1. x² = (n²)².Thus, x² is a perfect square (the square of n²).

2. xy = (n²)(m²)= (nm)². Thus, xy is a perfect square (the square of xy)

3. 4x = 4(n²)= (2n)². Thus, 4x is a perfect square (the square of 2n)

4. x+y= (n²)+(m²). This is NOT necessarily a perfect square.

Hence, we have our answer. It is D( x + y )

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Answer 2

Step-by-step explanation:

x² = (n²)².Thus, x² is a perfect square (the square of n²).

2. xy = (n²)(m²)= (nm)². Thus, xy is a perfect square (the square of xy)

3. 4x = 4(n²)= (2n)². Thus, 4x is a perfect square (the square of 2n)

4. x+y= (n²)+(m²). This is NOT necessarily a perfect square.

Hence, we have our answer. It is D( x +