surds Flashcards
(31 cards)
What is a surd?
If a is a positive rational number, which is not the nith power of any rational number, then the irrational number +Ya are called simple surds or monomial surds.
Are all surds irrational numbers?
Every surd is an irrational number, but not every irrational number is a surd.
What is an example of a surd?
√3 is a surd.
Examples: √3 is a surd and √3 is an irrational number.
What is an example of an irrational number that is not a surd?
n is an irrational number, but it is not a surd.
How do you simplify [a]’ [//a]?
a° (1/6)(1/3)⁴• a (1/3)(1/6)⁴ = a² • a² = a*.
How do you arrange √6, √7, and √5 in order of magnitude?
The ascending order is √6, √7, √5.
LCM of the denominators of the exponents is 12.
What is the square root of 10 + √24 + √60 + √40?
√10 + √24 + √60 + √40 = (√2 + √3 + √5).
What is the third surd when 14, 55, √6, and 28 are arranged in ascending order?
The third surd from the left is 86.
What is the value of 0.15 - 2056√57 + 2√2?
The value is √2.
If x = 21/3 - 2, what is x³ + 6x² + 12x?
The result is 8.
What is the expression for a = 42, b = (125), c = 81?
The expression is 1/a + 1/b + 1/c.
What is p + q + r + s if p = 8, q = 9, r = 16, s = 62?
The sum is 95.
What is u if u = (27)¹/³?
u = 3.
Which of the following numbers is greater than 1: (216), (125)⁻²/³, (625)², 108(1/2)?
The number (216) is greater than 1.
How do you simplify the expression a²ub/(√a + √b)?
The simplified expression is 2b√a + b.
What is a surd?
If a is a positive rational number, which is not the nith power of any rational number, then the irrational number +Ya are called simple surds or monomial surds.
Are all surds irrational numbers?
Every surd is an irrational number, but not every irrational number is a surd.
What is an example of a surd?
√3 is a surd.
Examples: √3 is a surd and √3 is an irrational number.
What is an example of an irrational number that is not a surd?
n is an irrational number, but it is not a surd.
How do you simplify [a]’ [//a]?
a° (1/6)(1/3)⁴• a (1/3)(1/6)⁴ = a² • a² = a*.
How do you arrange √6, √7, and √5 in order of magnitude?
The ascending order is √6, √7, √5.
LCM of the denominators of the exponents is 12.
What is the square root of 10 + √24 + √60 + √40?
√10 + √24 + √60 + √40 = (√2 + √3 + √5).
What is the third surd when 14, 55, √6, and 28 are arranged in ascending order?
The third surd from the left is 86.
What is the value of 0.15 - 2056√57 + 2√2?
The value is √2.
