SOLUTION: Let a - 1 and b - 64. a. Evaluate sqrt a + sqrt b. Then find sqrt a+b. Are they equal? b. Evaluate ^n sqrt a + ^n sqrt b. Then find ^n sqrt a+b. Are they equal? c. Complete the

Question 349075: Let a - 1 and b - 64.
a. Evaluate sqrt a + sqrt b. Then find sqrt a+b. Are they equal?
b. Evaluate ^n sqrt a + ^n sqrt b. Then find ^n sqrt a+b. Are they equal?
c. Complete the following: be general, ^n sqrt a + ^n sqrt b = _______ based on the observations in parts (a) and (b) of this exercise.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Let a - 1 and b - 64.
a. Evaluate sqrt a + sqrt b. Then find sqrt a+b. Are they equal?
What did you get for sqrt(a) + sqrt(b)?
What did you get for sqrt(a+b) ?
Are they equal ?
-------------------------------
b. Evaluate ^n sqrt a + ^n sqrt b. Then find ^n sqrt a+b. Are they equal?
What does ^n mean, in a + ^n sqrt b ??
-----------------------------
c. Complete the following: be general, ^n sqrt a + ^n sqrt b = _______ based on the observations in parts (a) and (b) of this exercise.
--------------------------
Same question as b above.

RELATED QUESTIONS
Show that: if a > 0, b > 0, and sqrt{a} < sqrt{b}, then a < b. Hint given: b - a (answered by math_tutor2020)

find the value of A and B if sqrt(A) x sqrt(B) = 4 sqrt(A) - sqrt(B) =... (answered by stanbon)

Multiply the radical expressions. (^3 sqrt n - 3) (^3 sqrt n - 5) A. n - 15 B. ^3... (answered by Alan3354)

If a= sqrt(3)-1/ sqrt(2) and b= sqrt(3)+1/ sqrt(2) Find a^2 +... (answered by ikleyn)

simplify a-b/sqrt a-sqrt... (answered by edjones)

{{{ (a-b)/(sqrt ( a )+sqrt ( b ))... (answered by josgarithmetic)

Evaluate the function. given that f(x) = sqrt -9x , find f(-k). A) sqrt kx B)... (answered by jsmallt9)

Evaluate the function. given that f(x) = sqrt (-5x) , find f(-k). A) sqrt (kx) B) (answered by Alan3354)

(a) sqrt(10x) * sqrt(8x) (b) sqrt(24x^4) / sqrt(3x) (c) 5 /... (answered by Alan3354)