Question

find a fraction which when multiplied by itself gives 1681/256 . imin class 7 so try to keep it the way I understand

Answer 1

Answer:

41/16

Step-by-step explanation:

The number is multiplied by itself, this means that the fraction in the question is the square(x²) of the original fraction. Thus, we have to find the square root of 1681 and 256(using prime factorisation), which is 41 and 16. Therefore the answer will be 41/16.

Answer 2

Answer:

41/16.

Step-by-step explanation:

Let the required fraction be x/y.

Then, if x/y multiplied by itself we get 1681/256.

which means that x/y × x/y = 1681/256.

=> x^2/y^2 = (41×41) / (16×16).

=> x/y = 41/16.

Hence the required fraction is 41/16.

Hope this helps you.