Surds Flashcards
What is a surd?
A surd is an irrational number that can be expressed as the root of a whole number.
True or False: The square root of 16 is a surd.
False
What is the surd form of 50?
5√2
Fill in the blank: The square root of 18 can be simplified to ___√2.
3
Which of the following is a surd? A) 4 B) √5 C) 9
B) √5
What is the value of √49?
7
True or False: All surds are irrational numbers.
True
How do you simplify √72?
6√2
What is the product of √3 and √12?
6
Fill in the blank: The expression √(a × b) can be simplified to ___ if both a and b are non-negative.
√a × √b
What is the sum of √2 and √2?
2√2
True or False: Surds can be added or subtracted like regular numbers.
False
What is the simplified form of √(x^2)?
x
If x = 3, what is the value of √(x^2 + 4)?
5
What is the result of (√5)^2?
5
Fill in the blank: The expression √(a/b) can be simplified to ___ if b is not zero.
√a / √b
What is the approximate value of √10?
3.16
What is the difference between a rational number and a surd?
A rational number can be expressed as a fraction, while a surd is an irrational root.
How do you rationalize the denominator of 1/√3?
Multiply by √3/√3 to get √3/3.
True or False: The square root of a negative number is a surd.
False
What is the simplified form of √(x^4)?
x^2
What is the value of 2√5 + 3√5?
5√5
Fill in the blank: If a = 9 and b = 16, then √(a + b) = ___.
√25
What is the value of √(25/4)?
5/2
True or False: √(a^2) = a for all real numbers a.
False
What is the simplified form of √(8) + √(2)?
4√2
