Evaluate the following
√64
Term 1 has a square root, so we evaluate and simplify:
Simplify √64.
If you use a guess and check method, you see that 72 = 49 and 92 = 81.Since 49 < 64 < 81 the next logical step would be checking 82.
82 = 8 x 8
82 = 64 <--- We match our original number!!!
Therefore, √64 = ±8
The principal root is the positive square root, so we have a principal root of 8
Group constants
8 = 8
Final Answer:
8
Common Core State Standards In This Lesson
6.EE.A.1
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 form
This calculator has 1 input.
* 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 form
This calculator has 1 input.
What 3 formulas are used for the Square Roots and Exponents Calculator?
√n2 = ±n
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 exist
a/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
