Simplifying Square Roots | square root of 2
Tosimplifyasquareroot:makethenumberinsidethesquarerootassmallaspossible(butstillawholenumber[1]):Example:√12issimpleras2√3Getyourcalculatorandcheckifyouwant:theyareboththesamevalue!Hereistherule:whenaandbarenotnegativeAndhereishowtouseit:Example:simplify√1212is4times3:√12=√(4×3)Usetherule:√(4×3)=√4×√3Andthesquarerootof4is2:√4×√3=2√3So√12issimpleras2√3Anotherexample:Example:simplify√8√8=√(4×2)=√4×√2=2√2(Becausethesquarerootof4is2)Andanother:Example:simplify√18√18=√(9×2)=√9×√2=3√2Itoftenhelpst...
To simplify a square root: make the number inside the square root as small as possible (but still a whole number[1]):
Example: √12 is simpler as 2√3Get your calculator and check if you want: they are both the same value!
Here is the rule: when a and b are not negative
And here is how to use it:
Example: simplify √1212 is 4 times 3:
√12 = √(4 × 3)
Use the rule:
√(4 × 3) = √4 × √3
And the square root of 4 is 2:
√4 × √3 = 2√3
So √12 is simpler as 2√3
Another example:
Example: simplify √8√8 = √(4×2) = √4 × √2 = 2√2
(Because the square root of 4 is 2)
And another:
Example: simplify √18√18 = √(9 × 2) = √9 × √2 = 3√2
It often helps to factor[2] the numbers (into prime numbers[3] is best):
Example:...