Math Radicals Answer Key

Math radicals deal with solving square root problems with detailed answer keys. The radical of a given number or given expression is a number time itself is equal to the stated number or expression. The linear algebraic equation with radicals is discussed here with detailed answer keys. The radicals can be easily eliminated by squaring the given terms. The following are the example problem which deals with math radicals with proper answer keys.

Math radicals example problems with answer keys:

Math radical example problems are discussed below.

Example 1

Solve the math radical function.

√ (y 2 – 11y+28) = 2

Solution:

Given function is
√(y 2 – 11y+28) = 2

Squaring on both sides, then the above equation becomes
[√ (y 2 – 11y+28)] 2 = (2) 2

And simplify.
y 2 – 11y+28= 4

Make the above equation in factor form.
y 2 – 11y + 24 =0

The above equation is in quadratic form with two solutions.
y = 3 and y = 8

Example 2

Solve the math radical function.

√ ( y + 2) = y - 4

Solution:

Given function is
√( y + 2) = y - 4

Squaring on both sides, then the above equation becomes
[√ ( y + 2)] 2 = (y - 4) 2

And simplify.
y + 2 = y 2 - 8 y + 16

Make the above equation in factor form.
y 2 - 9 y + 14 = 0

The above equation is in quadratic form with two solutions.
y = 2 and y = 7

Example 3:

Solve the math radical function.

√ (y + 2) = 5

Solution:

Given function is
√(y + 2) = 5

Squaring on both sides, then the above equation becomes
[√ (y + 2)] 2 = 5 2

And simplify
y + 2 = 25

Solve for y.
y = 23

Math radicals practice problems with answer keys:

The following are practice problems for math radicals with answer keys for self doing.

1) Solve the math radical function.

√ (y + 9) = 9

Answer key: y = 72 is the solution

2) Solve the math radical function.

√ (14y –33 ) = y

Answer key: y = 11 and y = 3 is the solution.