0
Still curious? Ask our experts.
Chat with our AI personalities
Rene
Taiga
ProfessorAdd your answer:
Earn +20 pts
What is the simplified expression for 1 plus radical 5 over 5 plus radical 5?
The trick here is to multiply by the value 1, but express it as (5 - √5)/(5 - √5). This forms a difference of squares on the bottom, eliminating the radical:(1 + √5) / (5 + √5)= (1 + √5)(5 - √5) / (5 + √5)(5 - √5)= (5 - √5 + 5√5 - 5) / (25 - 5√5 + 5√5 - 5)= 4√5 / 20= √5 / 5
What is the answer to 5x 8?
Think 5 groups of 8 each. 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 5 x 8 = 40
What is five to the negative 1st power?
1/5 When you have any number to the negative power, it becomes a fraction: 5^-1 = 1/5 5^-2 = 2/5 5^-3 = 3/5 5^-4 = 4/5 5^-5 = 5/5 5^-6 = 6/5 5^-7 = 7/5 5^-8 = 8/5
Why is x8 and x2 is x6 and not x4?
To divide indices you subtract, hust like to multiply you add. eg 5 to the sixth divide by 5 to the fourth is five to the (6 - 4) ie 5 squared ie 25. Check it : 5 to the sixth = 5 x 5 x 5 x 5 x 5 x 5; 5 to the fourth = 5 x 5 x 5 x 5; To divide 5 x 5 x 5 x 5 cancels out leaving 5 x 5.
What is the the cube root of 125?
The cube root of 125 is 5 -- that is 5*5*5 = 125
