سجل كمعلم
Math project Trimester 1
نص القصة المصورة
- الانزلاق: 1
- Sis, can you help me learn how to apply radicals and square roots to problem? I need to learn about them for my project
- Lily got home from school and started her homework for Algebra 1. Her little sister,Catherine, walked up to her, who seemed very upset at the moment.
- الانزلاق: 2
- Sure, but It’s complicated, you need to know what a square root is first.
- Okay, then explain it!
- الانزلاق: 3
- A square root is a number that, when multiplied by itself, equals another number. This is often expressed by using a radical symbol
- √16 = 4 because 4 x 4 = 16√36 = 6 because 6 x 6 = 36√49 = 7 because 7 x 7 = 49√81= 9 because 9 x 9= 81
- الانزلاق: 4
- Simplifying Radicals Using Prime Factorization
- √20√2x2x52√5√8√2x2x22√2√48√2x2x2x2x34√3
- Step 1: break down the square root into 2 factors and keep factorizing until you reach a prime numberStep 2: if there are pairs of the same prime numbers, put them outside the square root and put the rest in the square root, if there is more than 1 pair or radical multiply them with each other
- In order to simplify a square root, you have to use prime factorization, which requires the factors of that number
- الانزلاق: 5
- Do you want to try some problems out?
- Sure, why not?
- الانزلاق: 6
- Adding and subtracting radicals
- Adding and subtracting radicals
- 2 √5 + 4 √5 = 6 √57 √2 - 4 √2 = 3 √22 √7 + 5 √7 = 7 √7
- الانزلاق: 7
- Multiplying Radicals
- Example 12 √6 x 3 √42 x 3 and 6 x 46 √12Simplify √12 then multiply by 62 √3 x 6 = 12 √3
- Multiplying radicals is multiplying 2 or more roots together, radicals can only be multiplied by radicals and radicands by radicands.
- She struggled for a while, then showed her. She had written:
- Example 24 √4 x 6 √44 x 6 and √4 x √424 (4) = 96
- When 2 like square roots are multiplied by each other, they cancel each other out and just leave the whole number without the radical
- الانزلاق: 8
- Multiply:4 √3 ( 3 + 6 √5)Your answer:4 x 3 = 12 and √3 x 3 = √9 = 34 √3 x 6 √5 = 24 √1512 + 3 + 24 √1515 + 24 √15My answer:4 √3 x 3 = 12 √34 √3 x 6 √5 = 24 √1512 √3 + 24 √15
- That’s not quite right… remember, we can’t multiply radicals by radicands, we can only place the radicand outside the radical
- You can’t multiply the 3 with √3, but you can multiply it with the 4 on the outside
- الانزلاق: 9
- Wait, is that all I need to know about radicals?
- الانزلاق: 10
- That’s the function of a square root?! Thats so cool!
- الانزلاق: 11
- Mom, Lily taught me something new in math, she taught me about radicals! Will I ever actually use it in real life though?
- Well, Catherine, you will probably use it later on if you become an architect or a math major, so maybe
- Later on…
- الانزلاق: 12
- To add and subtract radicals, the radicals have to be the same while the radicands (numbers outside) get added and subtracted
- Radicals and Square Roots
- الانزلاق: 0
- The square root function is a graph that aligns a number with its square root, you might see it later on! Its formula is f(x) = √x
- Multiply:4 √3 (3 + 6 √5)Your answer :4 x 3 = 12 and 3 x √3 = √9 = 34 x 6 = 24 and √3 x √5 = √1512 + 3 + 24 + √15 = 39 + √15My answer: 4 √3 x 3 = 12 √34 √3 x 6 √ 5 = 24 √1512 √3 + 24 √15
- So far, yes, but I want to show you something else as well.
- This is a square root function. Basically, it takes a number on the graph and aligns it with its square root. Its formula is f(x) = √x
- Today I’ll be presenting my project about radicals and square roots
تم إنشاء أكثر من 40 مليون لوحة قصصية
لا توجد تنزيلات ولا بطاقة ائتمان ولا حاجة إلى تسجيل الدخول للمحاولة!
