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Bezzdna [24]
3 years ago
11

What is the square root of 21

Mathematics
1 answer:
Andru [333]3 years ago
4 0

Answer:

4.58

Step-by-step explanation:

21 is not a perfect square, but lies between the perfect squares 16 and 25.  Thus, √21 lies between √16 and √25, that is, between 4 and 5.  Since 21 is closer to 25 than to 16, √21 is closer to 5 than to 4.  A rough estimate of √21 would be 4.7.

√21 done on a calculator comes out to 4.58.

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Find the length of side x in simplest radical form with rational denominator. the short leg is root 2 and the long leg is x we d
kirill115 [55]

Answer:

√2 + x

Step-by-step explanation:

To obtain the hypotenus, h:

Using Pythagoras rule :

h² = opposite² + Adjacent²

Opposite = √2

Adjacent= x

h² = (√2)² + x²

Take the square root of both sides

h = √2 + x

Hence, the hypotenus is √2 + x

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3 years ago
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Venita is factoring the expression 32ab-8b. She determines the GCF and writes the factored expression as 8b(4a-0). Which best de
Nimfa-mama [501]
Let's go through the steps of factoring that Venita should take.

1.) Find the greatest common factor (GCF). We only have two terms, so that makes it pretty easy.
32 = 1, 2, 4, 8, 16, 32
8 = 1, 2, 4, 8
The greatest common factor of 32 and 8 is 8. We can also factor out a <em>b</em> since that term appears in each part of the original expression. The GCF and variable should go on the outside of the parentheses.
8b(       )

2.) Now let's figure out what should go in the middle of the parentheses. To do this, use the original expression and divide each term. This is written in the parentheses. 

32ab ÷ 8b = 4a
8b ÷ 8b = 1

This would then result in the factored expression 8b(4a - 1). You can always check this by using the distributive property. Distribute 8b out to both expressions:
8b x 4a = 32ab
8b x 1 = 8b
32ab - 8b is the expression she started with, so your factored expression works!

Now that we went through the steps to solve the factored expression, let's check her answer. The only difference between Venita's and ours is that she has 0 as the second term while we have a 1. It seems that she had subtracted the GCF from the second term instead of dividing.
6 0
3 years ago
Read 2 more answers
Finding the distance between two points (-4,-3),(6,1)​
Varvara68 [4.7K]

Answer:

it's the first one

Step-by-step explanation:

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