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AleksAgata [21]
3 years ago
12

What is the simplified form of √45

Mathematics
1 answer:
MariettaO [177]3 years ago
7 0

Answer:

3√5

Step-by-step explanation:

The largest perfect square of the factors of 45 is 9. We can therefore convert √45 like this:

√9 × 5

Next, we separate the numbers inside the √ as such:

√9 × √5

√9 is a perfect square that equals 3. We can therefore put 3 outside the radical and get the final answer to square root of 45 in simplest radical form as follows:

3√5

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I am offering another 100 points
Ivahew [28]

Answer:

\sf Since \;\sqrt{\boxed{64}}=\boxed{8}\;and\;\sqrt{\boxed{81}}=\boxed{9}\; \textsf{it is known that $\sqrt{75}$ is between}\\\\\sf \boxed{8}\;and\;\boxed{9}\;.

Step-by-step explanation:

<u>Perfect squares</u>: 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, ...

To find \sf \sqrt{75} , identify the perfect squares immediately <u>before</u> and <u>after</u> 75:

  • 64 and 81

\begin{aligned}\sf As\;\; 64 < 75 < 81\; & \implies \sf \sqrt{64} < \sqrt{75} < \sqrt{81}\\&\implies \sf \;\;\;\;\;8 < \sqrt{75} < 9 \end{aligned}

\sf Since \;\sqrt{\boxed{64}}=\boxed{8}\;and\;\sqrt{\boxed{81}}=\boxed{9}\; \textsf{it is known that $\sqrt{75}$ is between}\\\\\sf \boxed{8}\;and\;\boxed{9}\;.

See the attachment for the correct placement of \sf \sqrt{75} on the number line.

6 0
1 year ago
Read 2 more answers
Subtract using the number line -3/5 - (-2/5) (picture provided)
lara31 [8.8K]

Answer:

<h2>-1/5</h2>

Step-by-step explanation:

Starting at -3/5 you need to subtract -2/5.

When you subtract a negative number, the sign flips and you add instead. Often, you are taught that two similar signs means add and two opposite signs mean minus.

<em>+ + = +</em>

<em>- - = -</em>

<em>+ - = -</em>

<em>- + = -</em>

<em />

This means -3/5 - -2/5 becomes -3/5 + 2/5.

Because you are adding, you move two lines to the right on the number line.

You end at -1/5.

5 0
3 years ago
Read 2 more answers
Let’s try another one. A bag contains 36 red, 48 green, 22 yellow, and 19 purple blocks. There are 125 blocks in the bag. You ch
kati45 [8]
Theoretical probability (TP) is given by:
TP=[Number of favorable (desired) outcomes]/[Total number of possible outcomes]
From the information given:
Number of purple blocks=19
Total number of possible outcomes=125
thus;
TP=19/125
    =0.152
6 0
3 years ago
I need help with 29 c
Snowcat [4.5K]
The answer is b becuase my sister had that homework
7 0
3 years ago
Write the following as ratio and simplif 3km to 12km <br>​
lesantik [10]

Answer:

1:4

Step-by-step explanation:

3:12

((3×1):(3×4))

=1:4

(would love if you could mark me the brainliest :))

3 0
2 years ago
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