Answer: (-2+√5), (-2-√5)
Step-by-step explanation:
<u>1.</u> Reference the formula: [(-b±(√b^2-4ac))/2a]
<u>2.</u> Plug in the values from the equation: [(-4±(√16+4))/2]
<u>3.</u> Simplify: [(-4±(√20))/2]
<u>4.</u> Simplify the root: [(-4±(2√5))/2]
<u>5.</u> Simplify the fraction: [-2±√5]
<u>6.</u> There's your answer: (-2+√5), (-2-√5)
The answer is:
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:
Keywords: Radical expressions, Square root
Learn more about radical expressions at:
#LearnwithBrainly
There are 5 shelves in the bookcase.
2/5 of one shelve is occupied.
That would be:
2/5*1/5=2/25 of all shelves
7/2 is more than 1, so it refers to the bookcase instead
of one shelve. The same with 11/10.
So the total is:
2/5+7/2+11/10 = 5
So all shelves are completely full.
So there is no room for any other book.
