IDNLearn.com makes it easy to find precise answers to your specific questions. Join our community to receive prompt and reliable responses to your questions from knowledgeable professionals.
Sagot :
To find the difference [tex]\(\sqrt{20} - \sqrt{80}\)[/tex], follow these steps:
1. Simplify the square roots:
- First, recognize that [tex]\(\sqrt{20}\)[/tex] can be simplified:
[tex]\[ \sqrt{20} = \sqrt{4 \times 5} = \sqrt{4} \times \sqrt{5} = 2\sqrt{5} \][/tex]
- Similarly, simplify [tex]\(\sqrt{80}\)[/tex]:
[tex]\[ \sqrt{80} = \sqrt{16 \times 5} = \sqrt{16} \times \sqrt{5} = 4\sqrt{5} \][/tex]
2. Substitute the simplified forms:
- Now that [tex]\(\sqrt{20}\)[/tex] is simplified to [tex]\(2\sqrt{5}\)[/tex] and [tex]\(\sqrt{80}\)[/tex] is simplified to [tex]\(4\sqrt{5}\)[/tex], substitute these back into the expression:
[tex]\[ \sqrt{20} - \sqrt{80} = 2\sqrt{5} - 4\sqrt{5} \][/tex]
3. Calculate the difference:
- Combine the like terms:
[tex]\[ 2\sqrt{5} - 4\sqrt{5} = (2 - 4)\sqrt{5} = -2\sqrt{5} \][/tex]
So, the difference [tex]\(\sqrt{20} - \sqrt{80}\)[/tex] is [tex]\(-2\sqrt{5}\)[/tex].
Therefore, the correct answer is:
[tex]\[ \boxed{-2\sqrt{5}} \][/tex]
1. Simplify the square roots:
- First, recognize that [tex]\(\sqrt{20}\)[/tex] can be simplified:
[tex]\[ \sqrt{20} = \sqrt{4 \times 5} = \sqrt{4} \times \sqrt{5} = 2\sqrt{5} \][/tex]
- Similarly, simplify [tex]\(\sqrt{80}\)[/tex]:
[tex]\[ \sqrt{80} = \sqrt{16 \times 5} = \sqrt{16} \times \sqrt{5} = 4\sqrt{5} \][/tex]
2. Substitute the simplified forms:
- Now that [tex]\(\sqrt{20}\)[/tex] is simplified to [tex]\(2\sqrt{5}\)[/tex] and [tex]\(\sqrt{80}\)[/tex] is simplified to [tex]\(4\sqrt{5}\)[/tex], substitute these back into the expression:
[tex]\[ \sqrt{20} - \sqrt{80} = 2\sqrt{5} - 4\sqrt{5} \][/tex]
3. Calculate the difference:
- Combine the like terms:
[tex]\[ 2\sqrt{5} - 4\sqrt{5} = (2 - 4)\sqrt{5} = -2\sqrt{5} \][/tex]
So, the difference [tex]\(\sqrt{20} - \sqrt{80}\)[/tex] is [tex]\(-2\sqrt{5}\)[/tex].
Therefore, the correct answer is:
[tex]\[ \boxed{-2\sqrt{5}} \][/tex]
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! For precise answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.