Question

Show that each of the following numbers are
perfect squares. In each case also find the number
whose perfect squares is the given number.
(a 841 (b) 576
(c) 676 (d) 5184

Answer a. fist of all we use prime factorisation method.
so, prime factorisation of 841.
841 =29*29 so, square of 841 is 29.

b. prime factorisation of 576.
576=2*2*2*2*2*3*3.
the pair is 2*2*2*3.
and then multiply the pair 2*2*2*3=24 so, the square of 576 is 24

c.prime factorisation of 676.
676=2*2*13*13.
the pair is 2*13.
and then multiply the pair 2*13=26. so, the square of 676 is 26.

d.prime factorisation of 5184.
5184=2*2*2*2*2*2*3*3*3*3.
the pair is 2*2*2*3*3.
and then multiply the pair 2*2*2*3*3=72.so, the square of 5184 is 72.​

Answer 1

Step-by-step explanation:

Show that each of the following numbers are

perfect squares. In each case also find the number

whose perfect squares is the given number.

(a 841 (b) 576

(c) 676 (d) 5184

Answer a. fist of all we use prime factorisation method.

so, prime factorisation of 841.

841 =29*29 so, square of 841 is 29.

b. prime factorisation of 576.

576=2*2*2*2*2*3*3.

the pair is 2*2*2*3.

and then multiply the pair 2*2*2*3=24 so, the square of 576 is 24

c.prime factorisation of 676.

676=2*2*13*13.

the pair is 2*13.

and then multiply the pair 2*13=26. so, the square of 676 is 26.

d.prime factorisation of 5184.

5184=2*2*2*2*2*2*3*3*3*3.

the pair is 2*2*2*3*3.

and then multiply the pair 2*2*2*3*3=72.so, the square of 5184 is 72.