Question

By what smallest number must 180 be multiplied so that the product becomes a perfect square. Also, find the square root of the perfect square obtained.​

Answer 1

Answer:

x

Step-by-step explanation:

value of x = y

and value of y = x

Answer 2

Answer:

The least number is 5 and the “square root” is 30.

Solution:

To find the “smallest number” by which 180 will be multiplied to get a “perfect square”, we need to factorize 180 as under:

180=2 \times 90180=2×90

=2 \times 9 \times 10=2×9×10

=2 \times 3 \times 3 \times 2 \times 5=2×3×3×2×5

=2^{2} \times 3^{2} \times 5=2

2

×3

2

×5

Now, 5 is not in square. If 5 is in square, then derived number will be perfect square.

Hence, 180 must be multiplied by 5 to get a “perfect square” as shown below:

180=2^{2} \times 3^{2} \times 5^{2}=4 \times 9 \times 25=900180=2

2

×3

2

×5

2

=4×9×25=900

Now, the square of 900 = 30

Step-by-step explanation:

please thank my all answers

agar tum mere sare answer thank karoge to mai tumhe 50 point ka question dunga jisse tum next rank me pahuch sakoge

ko bhi mere sare answers ko thanks karega usko mai 50 point ka question dunga