Simplify 1327−−√.(1 point)
Responses
393–√
39 start root 3 end root
39
39
163–√
16 start root 3 end root
This radical expression is already fully simplified.
The simplified form of √1327 is 39√3.
To simplify the expression 1327−−√, you can use a calculator or manually find the square root.
Using a calculator:
The square root of 1327 is approximately 36.4239 (rounded to four decimal places).
Manually finding the square root:
By guess and check method, you can find that the square root of 1327 is between 36 and 37.
Let's try with 36.5:
36.5 * 36.5 = 1332.25 (too big)
Now let's try with 36.4:
36.4 * 36.4 = 1329.76 (still too big)
Lastly, let's try with 36.42:
36.42 * 36.42 = 1326.9364 (getting closer)
Since the square root of 1327 is between 36.42 and 36.43, we can round it to approximately 36.43.
Therefore, simplifying the expression 1327−−√ gives us 36.43 (rounded to two decimal places).
To simplify the expression 1327−−√, we need to find the square root of 1327.
There are a couple of methods to find the square root of a number. One method is to use a calculator with a square root function. Simply enter the number 1327 and press the square root button to get the result.
Using a calculator, we find that the square root of 1327 is approximately 36.458.
Therefore, the simplified expression is 39 – √3.