Help with solving rational equations

Solve the equation for z

$\sqrt{4 z + 1} = 3$

b. $t plus 21 space minus space 2 square root of t plus 21 end root plus 1 space equals space t space plus space 2$

c. $t space plus space 21 space minus space 2 square root of t space plus space 21 end root plus space 1 space equals space t squared plus space 4 t space plus space 4$

d. $t space plus space 21 space minus space 2 square root of t space plus space 21 end root minus space 1 equals space t plus space 2$

Solve the equation for b,

$\sqrt{b + 1} = \sqrt{b + 6} - 1$

Solve the equation for y

$\sqrt{y + 3} - \sqrt{y - 3} = 1$

c. y = $bevelled 37 over 4$

d. No Solution

Find the length of the unknown side in the right triangle. Round the answer to two decimal places.

a. 5.74 cm.

b. 8.06 cm.

c. 11 cm.

d. 3.32 cm.

Find the length of the unknown side in the right triangle. Leave your answer in simplest radical form.

a. $square root of 15 space end root i n.$

b. $15 space i n.$

c. $square root of 113 i n.$

d. $square root of 225 i n.$

Find the length of the unknown side in the right triangle. Leave your answer in simplest radical form.

a. $8 square root of 46 m.$

b. $2 square root of 131 m.$

c. $7 square root of 14 m.$

d. $square root of 3106 m.$

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