Estimate to the nearest integer.
Square root of -55
7*7=49
8*8=64
7.5*7.5=56.25
So
sqrt(55)=7.5 approx.
To get a better estimate,
calculate (mentallY)
7.5-(55-56.25)/(2*7.5)
=7.5-1.25/15
=7.5-1/12
=7.417
3√7.5
The square root of a negative number is not a real number. Therefore, the square root of -55 is undefined.
To estimate the square root of a negative number, we need to find its imaginary square root. The square root of a negative number "a" can be written as √(-a) = √(a) * i, where "i" is the imaginary unit.
In this case, we need to find the square root of -55. So, we have √(-55) = √(55) * i.
Now, let's estimate the value of the square root of 55 (√(55)). We know that 7 squared is 49, and 8 squared is 64. So, √(55) is somewhere between 7 and 8.
Therefore, the estimated value of the square root of -55 (√(-55)) to the nearest integer is between 7 and 8, but with an "i" factor.