24 terms

Square Root

A number (r) is a square root of a number (s) if r^2=s

Radical

operator to take the square root (square root sign)

Radicand

the expression under the radical (number inside a square root)

Radicals are simplified if...

-No radicand has a perfect square factor other than 1

-There is no radical in the denominator

-There is no radical in the denominator

What does ± mean?

Both positive and negative

Another way of writing √(1)?

1

What is the Principal Square Root?

Positive square root

What is Rationalizing?

Converting the function to a rational form when the denominator has a radical

G in GEMDAS?

Grouping

E in GEMDAS?

Exponents

M in GEMDAS?

Multiplication

D in GEMDAS?

Division

A IN GEMDAS?

Addition

S in GEMDAS?

Subtraction

What are Conjugates?

(a+√(b))(a-√(b))

How is a Conjugate used to simplify a fraction?

It uses the expression's opposite to get rid of the radical in the denominator.

Can there be a radicand in the Denominator?

No

What is an easy way to simplify radicals in the form of a fraction?

Solve the numerator and denominator separately.

Is 30.2 the principal square root of 906.01?

No, the principal (positive) square root of 906.01 is 30.1

How do you find the opposite of a squared number when using inverse operations?

by finding the square root

√g, what is g?

a radicand

What do you use to solve a more complex problem with a square root in the denominator?

You can use conjugates

When solving quadratic equations, which operation do you do first?

GEMDAS backwards will tell you the operations to start with

What is the conjugate of j + √(c)?

j - √(c)