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.
the least common multiple of 8 and 6 is 24
Rounded to nearest ten--- 950
Rounded to nearest hundred--- 900
A trick you can use for rounding-------- 5 or more, raise the score; 4 or less, let it rest.
P=2(l+w) hope this helps :)
Answer:
The ratio of zacharies nickels to dimes to quarters is <u>3 : 2 : 1</u>.
Step-by-step explanation:
Given:
Zachary has coins of the coins 3/6 are nickels, 2/6 dimes, rest are quarters.
Now, to get the ratio of zacharies nickels, to dimes to quarters.
So, as given dimes and nickels we find the quarters to get the ratio:
.
Thus, the quarters are 1/6.
Now, getting the ratio of the coins:
Nickels = 3/6 × 6 = 3
Dimes = 2/6 × 6 = 2
Quarters = 1/6 × 6 = 1
<em>Nickels : Dimes : Quarters = 3 : 2 : 1.</em>
Therefore, the ratio of zacharies nickels to dimes to quarters is 3 : 2 : 1.
