Question

Find the number of digits in the square roots of each of the following (without actually finding the square root). c) 12,100​

Answer 1

Answer:

Step-by-step explanation:

(i) 64=82

So, square root of 64 will have a single digit.

(ii)144=122

So, square root of 144 will have 2 digits.

(iii)4489

We know, 602=3600 and 702=4900.So,

602<3600<702

So, square root of 4489 will have 2 digits.

(iv)27225

We know, 1002=10000 and 2002=40000.So,

1002<27225<2002

So, square root of 27225 will have 3 digits.

(v)390625

We know, 6002=360000 and 7002=490000.So,

6002<390625<7002

So, square root of 390625 have 3 digits.