Which of the following is equivalent to √45−√5 ?

The answer you are looking for is 2√5, which is the same thing as √20.

Solution/Explanation:

Writing out the problem first

√45-√5

Testing different values to try to get the square root to be 5

Testing 2:

Take 2

Square it

2²=4

Divide 45 by 4

Nope, this will not work. It will not have a √5, and the base will not be a whole number. Now, let's try 3.

Take 3

Square it

3²=9

Divide 45 by 9, which is 5. For extra checking, you can multiply 9 by 5, which is 45, just to make sure that you calculated everything correctly.

Three works. So, now, we can have 3 as the base and 5 as the square root.

So, now, we can formulate a more simplified problem:

3√5-√5

To make it more easy to simplify more, we can write it out like this:

3√5-1√5

Subtract the bases 3 and 1. You will get 2. The √5 will remain the same.

2√5

So, therefore, the final answer to this problem is 2√5.

Hope this helped answer your question for you. Good day to you.

idek

step-by-step explanation:

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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