When I was in school and they asked you to compute square roots, they basically said "only take the principal (positive) root, unless told otherwise". Basically square roots were treated like a variation of the slogan of a sort of known men's wear chain store in the New York City area "Remember you are NOT in a HeMan store unless it says so."
A very good point of what can and CANNOT be done with numbers. Let’s take a look. Sqrt(4) + sqrt(4) =? Sqrt(4+4) Let’s simplify the left side first: Sqrt(4) + sqrt(4) = 2 + 2 (Do not say +-2, I will slap you) 2+2 = 4 So, does sqrt(4+4) = 4? Let’s see: Sqrt(4 + 4) = sqrt(8) Sqrt(8) = sqrt(4 * 2) Sqrt(4 * 2) = sqrt(4) * sqrt(2) sqrt(4) * sqrt(2) = 2*sqrt(2) The answer is NO! 4 =/= 2*sqrt(2), so in general: Sqrt(x) + sqrt(x) =/= sqrt(x + x) What IS true, in general, as long as a or b >= 0: Sqrt(a) * sqrt(b) = sqrt(a*b) Addition is NOT multiplication.
John, I did not use my calculator to state 'No".
Beneficial to him to string it out.
When I was in school and they asked you to compute square roots, they basically said "only take the principal (positive) root, unless told otherwise". Basically square roots were treated like a variation of the slogan of a sort of known men's wear chain store in the New York City area "Remember you are NOT in a HeMan store unless it says so."
big help thanks
A very good point of what can and CANNOT be done with numbers. Let’s take a look.
Sqrt(4) + sqrt(4) =? Sqrt(4+4)
Let’s simplify the left side first:
Sqrt(4) + sqrt(4) = 2 + 2 (Do not say +-2, I will slap you)
2+2 = 4
So, does sqrt(4+4) = 4? Let’s see:
Sqrt(4 + 4) = sqrt(8)
Sqrt(8) = sqrt(4 * 2)
Sqrt(4 * 2) = sqrt(4) * sqrt(2)
sqrt(4) * sqrt(2) = 2*sqrt(2)
The answer is NO! 4 =/= 2*sqrt(2), so in general:
Sqrt(x) + sqrt(x) =/= sqrt(x + x)
What IS true, in general, as long as a or b >= 0:
Sqrt(a) * sqrt(b) = sqrt(a*b)
Addition is NOT multiplication.
If it really took 14 minutes to explain this question we are doomed :(
It works for some...
Good thing it didn't then. Took about 2 min for the question, then another 10-ish for other topics related to square roots.
I am glad to see how you explain subject in one easy question.
Is the left side of that "eqality" equal to the right side of that "equality"? No, it is NOT.
√4 + √4 = √(4 + 4)
2 + 2 = √8 -> Evaluating
4 = √(4 x 2) -> Evaluating
4 ≠ 2√2✅ --> False
Not = 2 + 2 = 4 and sr 8 = 2 sr 2 thanks for the fun.
No, because 4 isn't the square root of 8.
False: V4 + V4 = 2 + 2 = 4 and V(4 + 4) = V8 = 2v2 ~ 2.43
2+2= rq8
4=2rq2 No
Four is not the square root of eight.
The answer is 4. I did know why he's overcomplicating it.
No. 2+ 2 not equal to square root of 8
The question is, doe LHS = RHS. Simply square both sides and you get 16=8, which do not equal. Job’s a good’un.
(√4) + (√4) = 2(√4) = 2(2) = 4
√(4 + 4) = √ 8 = 2√2
No
Of course not.
No. The square root of 8 does not equal 4. Oh well, whatcha gonna do?
SQRT (4) is 2. SQRT(9)= 3. SQRT( 8), from memory is about 2.8. 2 + 2 =4, 4 is not equal to 2.8.
Yes 2+2 = 4 ≠ √8
SO from the beginning what are you trying to do?
SImplify?
Ls = 4
Rs = 2 [root 2]
Ls not equal to Rs
(4^0.5)+(4^0.4)=?(4+4)^0.5
square both sides
i.e. (a+b)^2=a^2+b^2+2ab
or
4+4+2×(4^0.5)^2=❌️4+4
4
My apologies
I should have read IS IS IS
Instead of just looking at the expression
No?
No. 32 is not equal to 64.
EDIT: My calculation is wrong,
Nyet.
wrong
Nope
No
No
no
No
No
No
No
No