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Solve for $p$ . $\newline$ $8 = \sqrt{p}$ $\newline$ $p =$ _____

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Solve radical equations I

Full solution

Q. Solve for

p

.

\newline

8 = \sqrt{p}

\newline

p =

_____

Identify inverse operation: Identify the inverse operation of the square root to isolate $p$ . $\newline$ The inverse operation of taking the square root is squaring the number.
Apply inverse operation: Apply the inverse operation to both sides of the equation to solve for $p$ . $\newline$ Square both sides of the equation: $(8)^2 = (\sqrt{p})^2$
Calculate and simplify: Calculate the square of $8$ and simplify the right side of the equation. $\newline$ $8^2 = p$ $\newline$ $64 = p$

More problems from Solve radical equations I

Question

What is the domain of this function?

\newline

y = \sqrt{x}

\newline

\newline

\{x|x \geq 0\}

\newline

\{x|x \leq 0\}

\newline

\{x | x < 0\}

\newline

\{x|x>0\}

Posted 9 months ago

Question

p

\newline

\sqrt{4p} = \sqrt{10 + 3p}

\newline

p =

Posted 5 months ago

Question

What is the domain of this function?

\newline

y = \sqrt{x}

Posted 5 months ago

Question

p

\newline

8 = \sqrt{p}

\newline

p =

Posted 9 months ago

Question

Find the derivative of

p(x)

\newline

p(x) = \ln(\sqrt{x})

\newline

p' (x) =

Posted 9 months ago

Question

Alice studies the relationship between climate and heart disease around the world.

\newline

H(t)

models the probability for the occurrence of heart disease (in percents relative to the global average) at an area where the temperature is

t

degrees Celsius.

\newline

According to Alice's model, when the temperature is

-5^{\circ}C

(which is the lowest temperature included in the model), the probability is

10\%

above average. Then the probability decreases until the temperature reaches

30^{\circ}C

(which is the highest temperature included in the model), where the probability is

20\%

\newline

Which number type is more appropriate for the domain of

H

\newline

1

\newline

\newline

(B) Real numbers

Posted 7 months ago

Question

The altitude at which we boil an egg affects how long it takes for the egg to achieve perfect hardness.

\newline

198

seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude of

-418

\newline

The highest place possible is the summit of Mount Everest which has an altitude of

8848

meters. It takes

209

seconds to boil a perfect egg there.

\newline

T(a)

models the time (in seconds) it takes to boil a perfect egg at an altitude of

a

\newline

Which number type is more appropriate for the domain of

T

\newline

1

\newline

\newline

(B) Real numbers

Posted 7 months ago

Question

f(x)=\sqrt{x-1}

\newline

f

is defined. What is the value of

f(10)

Posted 10 months ago

Question

h(x)=\sqrt{4 x}

\newline

h

is defined. What is the value of

h(9)

\newline

1

\newline

3

\newline

6

\newline

12

\newline

36

Posted 8 months ago

Question

You pick a card at random, put it back, and then pick another card at random.

\newline

4

\newline

5

\newline

6

\newline

7

\newline

What is the probability of picking a number greater than

5

and then picking a

4

\newline

Write your answer as a percentage.

Posted 1 month ago

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