namely, let's rationalize the denominator in the fraction, for which case we'll be using the <u>conjugate</u> of that denominator, so we'll multiply top and bottom by its <u>conjugate</u>.
so the denominator is 5 + i, simply enough, its conjugate is just 5 - i, recall that same/same = 1, thus (5-i)/(5-i) = 1, and any expression multiplied by 1 is just itself, so we're not really changing the fraction per se.
Answer:5√(3)z^9
Step-by-step explanation:
Square root of 75z^18
√(75z^18)
√(75) x √(z^18)
√(25x3) x (z^18)^(1/2)
√(25) x √(3) x z^(18x1/2)
5 x √(3) x z^9
5√(3)z^9
Hey I tried, hope it helps... can't work it out, all the best
Answer: 112.5 square units
Step-by-step explanation:
I think:
For the triangle:
1/2base(height) = 1/2(9)(7)= 31.5 sq. Units
For the small rectangle:
Length x width= 3 x 9 = 27 sq. Units
For the larger rectangle:
The length must be 16 - 7 - 3 = 6
So length x width = 6 x 9 = 54 sq units
Now add them together:
31.5 + 27 + 54 = 112.5 square units
Answer:
The answer is (x-6) squared
