Multiply 3/sqrt17- sqrt2 by which fraction will produce an equivalent fraction with rational denominator
Answers
For this case we have the following expression:
We must rationalize the expression, so we multiply by:
So, we have:
Thus, the correct option is option B.
Answer:
OPTION B
Answer:
B.
Step-by-step explanation:
To simplify something that looks like you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:
.
If you had , then you would multiply top and bottom the conjugate of
which is
.
The conjugate of a+b is a-b.
These have a term for it because when you multiply them something special happens. The middle terms cancel so you only have to really multiply the first terms and the last terms.
Let's see:
(a+b)(a-b)
I'm going to use foil:
First: a(a)=a^2
Outer: a(-b)=-ab
Inner: b(a)=ab
Last: b(-b)=-b^2
--------------------------Adding.
a^2-b^2
See -ab+ab canceled so all you had to do was the "first" and "last" of foil.
This would get rid of square roots if a and b had them because they are being squared.
Anyways the conjugate of is
.
This is the thing we are multiplying and top and bottom.
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Answers
Answers
The equivalent value of the fraction is A = 64
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the numerator of the fraction be p
where the value of p = 16
Let the denominator of the fraction be q
where q = 1/4
Now , the fraction is A = p/q
On simplifying the expression , we get
So , the left hand side of the equation is equated to the right hand side by the value of p/q
A = 16 / ( 1/4 )
A = 16 x 4
On further simplification , we get
A = 64
Therefore , the value of A = 64
Hence , the expression is A = 64
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Answers
Answer:
3π/2 to 2π radians
Step-by-step explanation:
An arc on a circle measures 295°
now, we want to find angle in radian
and to find angle in radian , we multiply pi/180 into degree
simplify it
Answer: its D.
Step-by-step explanation:
A.
160 pi cm^3
B.
480 pi cm^3
C.
640 pi cm^3
D.
800 pi cm^3
Answers
Answers
a.)
784
/ \
2 392
/ \
2 196
/ \
2 98
/ \
2 49
/ \
7 7
√784 = 7² × 2^4
= 7² × 4²
= 28²
So, √784 = 28
b.)
2025
/ \
3 675
/ \
3 225
/ \
3 75
/ \
3 25
/ \
5 5
2025 = 5² × 3^4
= 5² × 9²
= 45²
So, √2025 = 45
c.)
9261
/ \
3 3087
/ \
3 1029
/ \
3 343
/ \
7 49
/ \
7 7
9261 = 7³ × 3³
= 21³
So, ³√9261 = 21
d.)
46656
/ \
2 23328
/ \
2 11664
/ \
2 5832
/ \
2 2916
/ \
2 1458
/ \
2 729
/ \
3 243
/ \
3 81
/ \
3 27
/ \
3 9
/ \
3 3
46.656 = 2³ × 3³ × 2³ × 3³
= 6³ × 6³
= 36³
So, ³√46.656 = 36
Hope it helps and is useful:)