Enter square root or exponent statement:
Evaluate √-58
Term 1 has a square root, so we evaluate and simplify:
A negative square root needs to use imaginary numbers:
The imaginary number i is denoted as √-1
Simplify √-58.
Since -58 is less than 0, we have an imaginary number of i where i = √-1We can express this as √58√-1Since √-1 = i, we have √58iSimplify √58.
Checking square roots, we see that 72 = 49 and 82 = 64.Our answer in decimal format is between 7 and 8Our answer is not an integer, so we try simplify it into the product of an integer and a radical.We do this by listing each product combo of 58 checking for integer square root values below:√58 = √1√58√58 = √2√29
From that list, the highest factor that has an integer square root is 1.Therefore, we use the product combo √58 = √1√58Evaluating square roots, we see that √1 = 1
Since 1 is the greatest common factor, this square root cannot be simplified any further:
Multiply by our constant of 1
√58 = √58√58i = ±sqrt(58)i
How does the Square Roots and Exponents Calculator work?
Free Square Roots and Exponents Calculator - Given a number (n), or a fraction (n/m), and/or an exponent (x), or product of up to 5 radicals, this determines the following:* The square root of n denoted as √n * The square root of the fraction n/m denoted as √n/m * n raised to the xth power denoted as nx (Write without exponents) * n raised to the xth power raised to the yth power denoted as (nx)y (Write without exponents) * Product of up to 5 square roots: √a√b√c√d√e * Write a numeric expression such as 8x8x8x8x8 in exponential formThis calculator has 1 input.
What 3 formulas are used for the Square Roots and Exponents Calculator?
What 5 concepts are covered in the Square Roots and Exponents Calculator?
- exponent
- The power to raise a number
- fraction
- how many parts of a certain size exista/b where a is the numerator and b is the denominator
- power
- how many times to use the number in a multiplication
- square root
- a factor of a number that, when multiplied by itself, gives the original number√x
- square roots and exponents
