Determine the integer that is the square root of 4,356 without using a calculator by eliminating possibilities.

it's more than 3600, so its greater than 60. it's less than 4900, so its less than 70. a no.'s root can end with six if the no. ends with 4 or 6. so the no is either 64 or 66. Now if it's 66, the square must be greater than sq of 65. 65 sq= 4225 the given no. is greater than sq of 65. Therefore the number is 66.

Answered by brainybeauty | 2024-06-10

To determine between which two consecutive integers the following numbers lie without using a calculator, we can follow these steps:
Estimate the squares of integers close to the number we want to find the square root of.
Narrow down the two consecutive integers between which the square root falls.
For √18, since 4^2 = 16 and 5^2 = 25, √18 lies between 4 and 5.
For √29, since 5^2 = 25 and 6^2 = 36, √29 lies between 5 and 6.
For √5, since 2^2 = 4 and 3^2 = 9, √5 lies between 2 and 3.
For √79, since 8^2 = 64 and 9^2 = 81, √79 lies between 8 and 9.

Answered by IngridBergman | 2024-06-24

The integer that is the square root of 4,356 is 66. We found this by determining that 66 is between 60 and 70, and its square equals 4,356. Through elimination, we confirmed that 6 6 2 = 4 , 356 .
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Answered by brainybeauty | 2024-10-02