From 81505edfecaea10fab2d68247a7b99645286a54f Mon Sep 17 00:00:00 2001 From: altaf-creator Date: Sun, 30 Jul 2023 20:23:36 +0700 Subject: Changed homepage, improved css and added roots, new notes (some not finished yet) --- lessons/matematika/pangkat-akar/akar.html | 112 ++++++++++++++++++++++++++++++ 1 file changed, 112 insertions(+) create mode 100644 lessons/matematika/pangkat-akar/akar.html (limited to 'lessons/matematika/pangkat-akar/akar.html') diff --git a/lessons/matematika/pangkat-akar/akar.html b/lessons/matematika/pangkat-akar/akar.html new file mode 100644 index 0000000..b519d5e --- /dev/null +++ b/lessons/matematika/pangkat-akar/akar.html @@ -0,0 +1,112 @@ + + + + + + + + + + Al Azhar 9th Grade Lesson Notes + + + + + + + + + + +
+ + + + +
+
+

Definition

+ Root is the inverse of exponent. For example;
+
    +
  • 42 = 16, so 16 = 4
    • +
  • 52 = 25, so 25 = 5
    • +
  • 102 = 100, so 100 = 10
    • +
+ +

Simplifying Square Roots

+ You can simplify a root by factoring the root number another number that is rational. Or in other words, divide the root number by the perfect squares. For example; +
    +
  • + Simplify 60
    + 60 = 4 × 15 = 215
    +
    • +
  • + Simplify 48
    + 48 = 16 × 3 = 43
    +
    • +
  • + Simplify 125
    + 125 = 25 × 5 = 55
    +
    • +
+ +

Root Operations

+

Addition

+ Roots with coefficient can be added with another coefficient that have the same roots.
+ ac + bc = (a + b)c +
    +
  • 32 + 42 = (3 + 4)2 = 72
    • +
  • 5 + 35 = (1 + 3)5 = 45
    • +
+

Subtraction

+ Roots with coefficient can be subtracted with another coefficient that have the same roots.
+ ac - bc = (a - b)c +
    +
  • 73 - 43 = (7 - 4)3 = 32
    • +
  • 106 - 56 = (10 - 5)6 = 56
    • +
+

Multiplication

+ Roots can be multiplied with any other roots. If the root is the same as the other multiplied root, the root can be deleted (if you want to be faster).
+ ac × bd = (a × b)c × d +
    +
  • 2 × 5 = 10
    • +
  • 32 × 43 = (3 × 4)2 × 3 = 126
    • +
  • 25 × 35 = (2 × 3)(5) = 6(5) = 30
    • +
+

Division

+ Roots can be divided with any other roots.
+ ac ÷ bd = (a ÷ b)c ÷ d +
    +
  • + 12 ÷ 3 = 2 +
    • +
  • + 86 ÷ 43 = (8 ÷ 4)6 ÷ 3 = 22 +
    • +
+
+
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