We can estimate the square root to be between 23 and 24 by hand, and using a calculator we can see that the exact value is 23.388
Let's solve this without using a calculator.
To check this, we can just take integer numbers and square them and see which one gives an outcome equal to or closer to 547.
For example, if we start with 20 we get:
20*20 = 400
Let's go higher, if we take 23:
23*23 = 529
The next one is 24:
24*24 = 576
Then we can estimate:
√529 < √547 < √576
23 < √547 < 24
So our number is between 23 and 24, now using a calculator we can get the exact value:
√547 = 23.388
Learn more about square roots:
https://brainly.com/question/428672
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