Question

estimate the value of the following square roots to the nearest whole number 1020​

Answer 1

Estimated value of the $\sqrt{1020}$ is 32

Step-by-step explanation:

To estimate the value of square root of 1020 we need to find its square root first

using the prime factorization

1020 = 2×2×3×5×17

taking square root both sides

$\sqrt{1020}$ = $\sqrt{2\times2\times3\times5\times17}$

$\sqrt{1020}$ = $2\sqrt{3\times5\times17}$

$\sqrt{1020}$ = $2\sqrt{15\times17}$

$\sqrt{1020}$ = $2\sqrt{255}$

using $\sqrt{255}$ = 15.968

$\sqrt{1020}$ = 2× 15.968

$\sqrt{1020}$ = = 31.96

nearly equal to 32

hence ,

estimated value of the $\sqrt{1020}$ is 32

#Learn more:

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