Question

A) √49/81 : √25/9 = ? b)√ (-25) * (-4) = ? c)√0.009 + √0.25 = ? d) √ 1,(8) + 0,(8) = ? е) √ 0.25 - 0,09 = ? f) 5/6 * √9/25 + √5 1/16 = ?

Answer 1

a) 7/81:5/9

b) -20

c) 0.594868...

d) некорректно

e) 0.41

f) 1/10 + √51/16

Answer 2

Let's solve each of these equations step by step:

a) √49/81 : √25/9 = (√49 / √81) : (√25 / √9) = (7 / 9) : (5 / 3) = (7 / 9) * (3 / 5) = 21 / 45 = 7/15

b) √(-25) * (-4) Since you are taking the square root of a negative number, this is not a real number. It's usually expressed as an imaginary number, and the result is 5i, where "i" represents the imaginary unit.

c) √0.009 + √0.25 = √(9/100) + √(25/100) = (3/10) + (5/10) = 8/10 = 4/5

d) √1.(8) + 0.(8) To simplify this, we'll use repeating decimals: 1.(8) = 1.888... 0.(8) = 0.888...

√(1.(8) + 0.(8)) = √(1.888... + 0.888...)

Now, add the two decimals together: 1.888... + 0.888... = 2.776...

So, √(1.(8) + 0.(8)) = √2.776... ≈ 1.665 (rounded to three decimal places)

e) √0.25 - 0.09 = √(25/100) - 0.09 = (5/10) - 0.09 = 0.5 - 0.09 = 0.41

f) 5/6 * √9/25 + √5 1/16 = (5/6) * (3/5) + √(5 1/16) = (1/2) + √(5 1/16) = (1/2) + √(81/16) = (1/2) + (9/4) = (1/2) + 2.25 = 2.75

So, the answers are: a) 7/15 b) 5i c) 4/5 d) Approximately 1.665 e) 0.41 f) 2.75