Question

What is the natural number whose square and square root are the same?

a)-1

b)2

c)1

d)-2

i need answer fast pls ​

Answer 1

Answer:

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Page No 42:

Question 1:

Using the prime factorisation method, find which of the following numbers are perfect squares:

(i) 441

(ii) 576

(iii) 11025

(iv) 1176

(v) 5625

(vi) 9075

(vii) 4225

(viii) 1089

ANSWER:

A perfect square can always be expressed as a product of equal factors.

(i)

Resolving into prime factors:

441=49×9=7×7×3×3=7×3×7×3=21×21=(21)2

Thus, 441 is a perfect square.

(ii)

Resolving into prime factors:

576=64×9=8×8×3×3=2×2×2×2×2×2×3×3=24×24=(24)2

Thus, 576 is a perfect square.

(iii)

Resolving into prime factors:

11025=441×25=49×9×5×5=7×7×3×3×5×5=7×5×3×7×5×3=105×105=(105)2

Answer 2

Answer:

c) 1

$\sqrt{1}$ = 1

$1^{2}$ = 1

Hope this helps :)