8 in two seconds in my head. Way too long. That's the principal square root and the one you use for an exact solution. If you want all the roots, you also include -8, which can easily be shown with trigonometry via Euler's Formula.
Hi. I done it very quickly in this way: = (2²)³/² ~> i simplify the exponent 2 of number 2 with the denominator 2 and remain only the "exponent 3", so will be = to 2³= *8* 💪🤙🇨🇭🇦🇷🇪🇸 vamos
There are TWO answers. 4 cubed = 64. Square root of 64 is 8. But also the square root of 4 is 2 and 2 to the third power = 8. OKAY, so both answers are the same. (This was looking for the root of an unknown so unless specified otherwise, only the principal root applies.
If I remember John’s teachings correctly, both positive and negative are answers only if the radical is part of an equation. When stand alone, such as this example, only the principle applies.
What's so funny about peace, love, and exponentiation? Bye Bye, Miss American Pi I Can't Get No Logrithmic Fraction I Saw The Sine (Regarding inequalities and negative numbers:) The Signs They Are A-Changing Thank you all very much. I must be going. Don't forget the top jar on your way out.
Is the answer 8 and -8?
Square root of 64 (4^3) = 8.
4^3 = 64
4^1/2 = 2
64^1/2 = 8
2^3. = 8
Final answer: 8
4^(3/2) = 4^(2/2 + 1/2) = 4^(2/2) * 4^(1/2) = 4 * 2 = 8
Thank-you John! You explained it well.
+-8
THANK YOU! My grandchild asked for help on a similar problem & I couldn’t do it. I had to follow through your explanation a couple times to get it.
I think it's easier to split the exponent as a sum, and split them using multiplication
3/2 = 1 + 1/2
4^(3/2) = 4^1 × 4^(1/2) = 4;× 2 = 8
8 in two seconds in my head. Way too long. That's the principal square root and the one you use for an exact solution. If you want all the roots, you also include -8, which can easily be shown with trigonometry via Euler's Formula.
Hi. I done it very quickly in this way: =
(2²)³/² ~> i simplify the exponent 2 of number 2 with the denominator 2 and remain only the "exponent 3", so will be = to 2³= *8* 💪🤙🇨🇭🇦🇷🇪🇸 vamos
4^(3/2) = (4^1)(4*0.5) = (4)(2) = 8. Alternatively, 4^(3/2) = (4^0.5)^3 = (2)^3 = 8.
4 ^ (3/2) = 4 ^ (2/2) x 4 ^ (1/2) = 4¹ x V4 = 4 x 2 = 8
There are TWO answers. 4 cubed = 64. Square root of 64 is 8. But also the square root of 4 is 2 and 2 to the third power = 8. OKAY, so both answers are the same. (This was looking for the root of an unknown so unless specified otherwise, only the principal root applies.
got it 8 3/2 = 1 1/2 4^1 = 4 4^1/2 = 2 so 4 x 2 = 8 it works thanks for the fun.
4 ³/2 = 4 ¹ * 4 1/2 =4 * √4 4*2 =8.
That was my route too... nice and easy!
Greetings. The answer is 8.
(4)^3/2= (4^1/2)^3=(2)^3=8.
4^(3/2) = (4^3)^0.5 = 2^3 = 8. The answer is 8.
I did it differently
4^(3/2)= √(4³)= √64 = 8
Yeah, I started with the cube too, it seems to come more naturally.
4^3/2 = (2^2)^3/2 = 2^3
2^3 = 2x2x2 = 8
4^3/2 = 8
Simple 8 4^3 is 64 the square root of 64 is 8
4^3/2=? ; (2^2)^3/2 = ; 2^2•3/2 = 2^3 = 8
Good Math! (but it's LibRary, not Liberry)
Isn't the answer 8 or -8?
If I remember John’s teachings correctly, both positive and negative are answers only if the radical is part of an equation. When stand alone, such as this example, only the principle applies.
@@1420Days thanks..I shall look that up. Just brushing up after years of not doing much maths and it's amazing how much one forgets.
@@stephenhammond9793 sure. Now, if you find I’m in the wrong, please let me know. 😎
Good question.
I put y=x^0.5 into an online X-Y plotter and it only scribed a single line, no mirrored line.
@@stephenhammond9793 No, the square root returns just the positive value.
I think the answer is 8. The square root of 4 cubed.
One slight quibble, this problem has only positive integers, so how can it be called Basic Algebra. In other words there are no x’s or y’s involved.
If you want to turn it into a formally written algebra problem, replace the question mark with the letter of your choosing.
x = 4^(³⁄₂)
Algebra is about the structure of math, and this kind of problem covers that. It's beyond Arithmetic, even without the variables.
8
Same as square root of 4 cubed.
i.e 8.
Ans) 8
The square root of 64 is 8 and -8
4
11/2?
8 is the answer
1960's Hippie mathematician's joke:
What did one radical protester say to the other radical protester?
Ans: Power to the people!!
What's so funny about peace, love, and exponentiation?
Bye Bye, Miss American Pi
I Can't Get No Logrithmic Fraction
I Saw The Sine
(Regarding inequalities and negative numbers:) The Signs They Are A-Changing
Thank you all very much. I must be going. Don't forget the top jar on your way out.
I got 8
+ or - 8 is the answer.
It’s X. It’s always X.
Thanks for math help. Add “r” to libary. Hurts my ears.
I thought it was 32
Making a mountain of a mole hill.
_
Only 7 minutes iso the usual 20 - progress!
Utterly confused. Learnt nothing, this was just an advertisement for your courses.
Which part confused you?
Lie berry? Pyre?
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