Question

estimate the square root of 20 to the nearest integer and to the nearest tenth

Answer 1

√20 = 4.47213

√20 = 4 (nearest integer)

√20 = 4.5 (nearest tenth)

Answer 2

Square root of 20 is equals to 4.5(nearest tenth).

What is estimation?

" Estimation of a number means to calculate the nearest value but not the exact value."

Value used

log (20) = 1.3010

Antilog (0.6505) = 4.472

Formula used

log aⁿ = n log a

According to the question,

'x'  represents the square root of 20.

x = √20

Taking logarithm both the sides we have,

  log x = log √20

Apply formula we get,

 log x = ( 1 /2) log 20          

Substitute the value of log20 we get,

     log x = ( 1 / 2) 1.3010

⇒ log x  =  0.6505

Therefore estimated value of x,

     x = Antilog (0.6505)

        = 4.472

        = 4.5 ( nearest tenth)

Hence, square root of 20 is equals to 4.5(nearest tenth).

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