Question

by what smallest number must 180 be multiplied so that became a perfect square also find the square root of the number so obtained ​

Answer 1

This Problem can be easily solved by prime factorisation method,

180 = 2 x 2 x 3 x 3 x 5

Now, we will pair in this number by taking two equal prime numbers in one set.

180 = (2x2) x (3x3) x 5

Here, 5 has no pair so this number must be multiplied with 5 to be a perfect square.

Therefore, the answer is 5.

The new perfect squared number is,

180 x 5 = 900

900 = 2 x 2 x 3 x 3 x 5 x 5

For finding square root if it we shall take one number from each pair.

Root of 900 = (2 x 3 x 5) = 30 (Ans)

Answer 2

Answer:

PLEASE MARK BRIENLIEST......

PLEASE..................

if 180 is multiplied by 5

180*5=900

so, 900 is a perfect square of 30

how we fin this?

first find the lcm of 180

and then make pairs of this

so,obtain is 2*2*3*3*5

in this 5 is a single so we multiply by 5