Answer:
B) \sqrt{30} - 3 \sqrt{2} + \sqrt{55} - \sqrt{33} \div 2
Step-by-step explanation:
Step 1: First we have to get rid off the roots in the denominator.
To do that, we have to multiply the numerator and the denominator by the conjugate of √5 + √3.
The conjugate of √5 + √3 is √5 - √3.
Now multiply given expression with √5 - √3
(√6 + √11) (√5 - √3)
------------- x -----------
(√5 + √3) (√5 - √3)
Step 2: Multiply the numerators and the denominators.
√6√5 - √6√3 +√11√5 -√11√3
------------------------------------------
(√5)^2 - (√3)^2
Now let's simplify to get the answer.
√30-√18 +√55 - √33
-----------------------------
5 - 3
= √30 -3√2 +√55 [√18 = √9√2 = 3√2]
--------------------------
2
The answer is \sqrt{30} - 3 \sqrt{2} + \sqrt{55} - \sqrt{33} \div 2
Thank you.
Answer:
y = 4 / x = 2
Step-by-step explanation:
Insert x equation for variable x
y = 2(-y+6)
simplify
y= -2y + 12
add 2y to both sides
3y= 12
divide both sides by 3
y = 4
Insert 4 as y in y =2x
4=2x
divide both sides by 2
x=2
Answer:
- 3(2 +7)
- 9(3 +5)
- 16(2 +3)
- 15(2 +5)
- 8(11 +3)
Step-by-step explanation:
- 6 + 21 = 2·3 + 3·7 = 3(2 +7)
- 27 + 45 = 3^3 + 3^2·5 = 9(3 +5)
- 32 + 48 = 2^5 + 2^4·3 = 16(2 +3)
- 30 + 75 = 2·3·5 + 3·5^2 = 15(2 +5)
- 88 + 24 = 2^3·11 +2^3·3 = 8(11 +3)
In each case, the factor outside parentheses is the greatest common factor, the product of the prime factors common to both numbers. When the same factor has different powers, the least power is the common factor.
The second one is the answer: f(4) = 22
Answer:
I
Step-by-step explanation:
I