(-1/6 + √4/9 )^2
I believe you get .0030864.
solve what's in the parenthesis first then ^2.
turn fractions into decimal format then add them and ^2.
To simplify the expression (-1/6 + √4/9)^2, we need to follow a few steps:
Step 1: Simplify the terms inside the parentheses.
- The square root of 4 is 2 since √4 = 2.
- The square root of 9 is 3 since √9 = 3.
- Simplify the fraction √4/9:
(√4/9) = (2/3)
So, (-1/6 + √4/9)^2 becomes (-1/6 + 2/3)^2.
Step 2: Combine the terms inside the parentheses.
- To combine fractions, we need a common denominator. In this case, multiply -1/6 by 3/3 to get -3/18.
Thus, (-1/6 + √4/9)^2 equals (-3/18 + 2/3)^2.
Step 3: Square the combined terms.
- Squaring a fraction involves squaring the numerator and squaring the denominator.
(-3/18 + 2/3)^2 becomes (9/324 + 72/324).
Step 4: Combine and simplify further if possible.
- Combine the fractions by adding the numerators but keeping the denominator the same.
(9/324 + 72/324) equals (81/324).
Step 5: Simplify the fraction.
- Divide both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 81 and 324 is 81.
Dividing both the numerator and denominator by 81, we get:
(81/324) ÷ 81 = 1/4.
Therefore, (-1/6 + √4/9)^2 simplifies to 1/4.