Question

By which smallest number 297 must be multiplied so as to make it a perfect square? The square root of perfect square number ​

Answer 1

mark me brainliest please because this is correct.

Answer 2

Answer:

33

Step-by-step explanation:

first find prime factor of 297.

prime factor of 297 is

$297=3*3*3*11=3^{2} *3*11$

If number is perfect square then every prime factor has even power.

To make perfect square we need to multiply by $3*11=33$.

$297*33=9801=3^{2} *3^{2} *11^{2}$

There for we multiply by 33 in 297 to make it perfect square.

By multiplying 297 by 33 we get 9801.

Now, square root of 9801 is

$\sqrt{9801}=\sqrt{3^{2}*3^{2}*11^{2} } =3*3*11=99$

There for square root of 9801 is 99.