Show that each of the following numbers is a perfect square. Also, find the number whose square is the given number in each case:
(i) 1156 (ii) 2025
(iii) 14641 (iv) 4761

Question

Show that each of the following numbers is a perfect square- Also- the number whose square is the given number-3969

Toppr Admin · Accepted Answer

We know thatIt can be written as-3969-3 -times 3 -times 3 -times 3 -HereAfter pairing the same prime factors- no factor is leftTherefore- -3969- is-160- a perfect square of -3 -times 3 -times 7 -63-

Show that each of the following numbers is a perfect square. Also, find the number whose square is the given number.
$$3969$$

We know that
It can be written as
$$3969=3 \times 3 \times 3 \times 3 $$
Here
After pairing the same prime factors, no factor is left
Therefore, $$3969$$ is a perfect square of $$3 \times 3 \times 7 =63$$

Show that each of the following numbers is a perfect square. Also, find the number whose square is the given number.$$3969$$

We know thatIt can be written as$$3969=3 \times 3 \times 3 \times 3 $$HereAfter pairing the same prime factors, no factor is leftTherefore, $$3969$$ is a perfect square of $$3 \times 3 \times 7 =63$$

Show that each of the following numbers is a perfect square. Also, find the number whose square is the given number.
$$3969$$

We know that
It can be written as
$$3969=3 \times 3 \times 3 \times 3 $$
Here
After pairing the same prime factors, no factor is left
Therefore, $$3969$$ is a perfect square of $$3 \times 3 \times 7 =63$$