The answer is:
![4\sqrt{2}](https://tex.z-dn.net/?f=4%5Csqrt%7B2%7D)
Further explanation:
Given expression is a radical expression. Radical expressions involve fractional exponents.
<u>Given:</u>
![\sqrt[4]{16}\ *\ \sqrt[4]{64}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16%7D%5C%20%2A%5C%20%5Csqrt%5B4%5D%7B64%7D)
Factorizing 16 and 64
![=\sqrt[4]{2*2*2*2}*\sqrt[4]{2*2*2*2*2*2}\\=\sqrt[4]{2^4} *\sqrt[4]{2^4*2^2}\\Can\ also\ be\ written\ as\\=\sqrt[4]{2^4} *\sqrt[4]{2^4}*\sqrt[4]{2^2}\\={(2^4)}^{\frac{1}{4}}*{(2^4)}^{\frac{1}{4}}*{(2^2)}^{\frac{1}{4}}\\=2*2*{(2)}^{\frac{1}{2} }\\=4*\sqrt{2}\\=4\sqrt{2}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B4%5D%7B2%2A2%2A2%2A2%7D%2A%5Csqrt%5B4%5D%7B2%2A2%2A2%2A2%2A2%2A2%7D%5C%5C%3D%5Csqrt%5B4%5D%7B2%5E4%7D%20%2A%5Csqrt%5B4%5D%7B2%5E4%2A2%5E2%7D%5C%5CCan%5C%20also%5C%20be%5C%20written%5C%20as%5C%5C%3D%5Csqrt%5B4%5D%7B2%5E4%7D%20%2A%5Csqrt%5B4%5D%7B2%5E4%7D%2A%5Csqrt%5B4%5D%7B2%5E2%7D%5C%5C%3D%7B%282%5E4%29%7D%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%2A%7B%282%5E4%29%7D%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%2A%7B%282%5E2%29%7D%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%5C%5C%3D2%2A2%2A%7B%282%29%7D%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%5C%5C%3D4%2A%5Csqrt%7B2%7D%5C%5C%3D4%5Csqrt%7B2%7D)
The answer is:
![4\sqrt{2}](https://tex.z-dn.net/?f=4%5Csqrt%7B2%7D)
Keywords: Radical expressions, Square root
Learn more about radical expressions at:
#LearnwithBrainly
Answer:
<u>The correct answer is B. 145 in²</u>
Step-by-step explanation:
Let's recall that formula of the surface area of a pyramid:
S.A. = 1/2*(4 * side of the base * height) + side of the base ²
Replacing with the values provided, we have:
S.A. = 1/2*(4 * 5 * 12) + 5²
S.A. = 1/2 * 240 + 25
<u>S.A. = 145 in²</u>
Answer:
Attached please find response.
Step-by-step explanation:
We wish to find the area between the curves 2x+y2=8 and y=x.
Substituting y for x in the equation 2x+y2=8 yields
2y+y2y2+2y−8(y+4)(y−2)=8=0=0
so the line y=x intersects the parabola 2x+y2=8 at the points (−4,−4) and (2,2). Solving the equation 2x+y2=8 for x yields
x=4−12y2
From sketching the graphs of the parabola and the line, we see that the x-values on the parabola are at least those on the line when −4≤y≤2.
Answer:
A (NO) B(YES) C(YES)
Step-by-step explanation:
Law of sines is used to find the measurements of angles not sides. Law of cosines is used for the sides. And pythagorean theorum should be obvious as it is based on the sides of a right triangle.
Answer:
240
Step-by-step explanation:
2.4 x 100= 240