Given: m√1 = 140 degrees, find m√5
a 40 degrees
b 90 degrees
c 130 degrees
d 140 degrees
e 160 degrees
To find the exact value of m√5, we need to determine the relationship between the square roots of 1 and 5.
Since the square root of 1 is represented by m√1 and is equal to 140 degrees, we can say that m√1 = 140 degrees.
Now, let's find the relationship between m√1 and m√5.
By using the property of the square roots, we know that √5 = √(1 * 5) = √1 * √5 = m√1 * √5.
Therefore, m√5 = √5 * m√1 = √5 * 140 = √(5 * 140^2) = √(5 * 19600) = √98000.
Since we are asked to find the exact value of m√5, we can simplify √98000 to its simplest form.
√98000 = √(2^4 * 5^2 * 7) = 2^2 * 5 * √7 = 20√7.
Therefore, m√5 = 20√7.
Thus, the answer is not among the given choices.