Question

Find the smallest number by which 2880 must be multiplied so that product becomes a perfect square. Also find the square root of the number so obtained
step by step explanation

Answer 1

Step-by-step explanation:

The number should be 5.

Step-by-step explanation:

Given : Number - 2880

To find : What should be multiplied to 2880 to make it a perfect square?

Solution :

First we do the prime factorization of the given number,

2880=2\times2\times2\times2\times2\times2\times3\times3\times52880=2×2×2×2×2×2×3×3×5

Now, we see that 2 is making an even pair, 3 is also making an even pair , but 5 is not making an even pair so, if we multiply the number with 5 the even pair make a perfect square.

Multiply 2880 with 5

2880\times 5=144002880×5=14400

\sqrt{14400}=120

14400

=120

Therefore, The number should be 5.

Answer 2

Answer:

HEY MATE YOUR ANSWER PLZ MARK AS BRAINLIEST ANSWER