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SOVA2 [1]
4 years ago
8

Which expression is equal to

title=" \frac{7}{ \sqrt{} 5} " alt=" \frac{7}{ \sqrt{} 5} " align="absmiddle" class="latex-formula">?
Mathematics
2 answers:
kumpel [21]4 years ago
7 0
Multiply both nominator and denominator by √5
(7*√5)/(√5*√5)=7√5/5

7√5/5
vagabundo [1.1K]4 years ago
5 0

Answer:

The expression equivalent to the given expression is: \frac{7\sqrt{5} }{5}

Step-by-step explanation:

We are given the expression as \frac{7}{\sqrt{5} }

we will multiply and divide by \sqrt{5} i.e. we use the method of "rationalizing a denominator"( the method used to remove a square root or a cube root from the denominator) to obtain the following expression:   \frac{7\sqrt{5} }{5}

Hence, the expression equivalent to \frac{7}{\sqrt{5} } is \frac{7\sqrt{5} }{5}.


You might be interested in
Select the number property that will justify the step in the following expression. 2(5 • 17) = (2 • 5) 17 = 10 • 17 = 170
Andreyy89

The number property that will justify the step in the following expression. 2(5 • 17) = (2 • 5) 17 = 10 • 17 = 170 is; Associative Property

<h3>What is the Number Property that was used?</h3>

The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.

Now, this associative property is used here because we see that;

2(5 • 17) = (2 • 5) 17

In both left and right hand sides we see that despite the change in order, the result remains the same.

Read more about Number Property at; brainly.com/question/24792133

#SPJ1

4 0
2 years ago
What is 5(n- 1/10) = 1/2
Olegator [25]

Answer:

1/5

Step-by-step explanation:

In order to find the answer, we need to isolate the "n."

Get 5 to the other side by dividing both sides by 5

(n-1/10)= 1/2 ÷(5)

Multiply the 2 and the 5 of the equation.

(n-1/10)= 1/10

Next, move the fraction on the left side, to the right.

n= 2/10

Reduce.

n= 1/5

5 0
3 years ago
The area of a rectangle room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equatio
olga_2 [115]
By definition, the area of a rectangle is given by:
 A = (width) * (long)
 Substituting values we have:
 750 = (y-5) * (y)
 Rewriting we have:
 750 = y ^ 2 - 5y
 y ^ 2 - 5y - 750 = 0
 Answer:
 
An equation that can be used to solve for And the length of the room is:
 
y ^ 2 - 5y - 750 = 0
5 0
4 years ago
Whats the slope of the line?
TiliK225 [7]

Answer:

m = rise/run = 4/5.

Step-by-step explanation:

This line goes throught the "exact" grid intersections (-2, 0) and (3, 4).  As we move from the first point to the second, we see that x increases by 5 (this is the 'run') and y increases by 4 (this is the 'rise').  Thus, the slope of this line is m = rise/run = 4/5.

6 0
3 years ago
The radius of a nitrogen atom is 5.8*10^-11 meters, and the radius of a beryllium atom is 1.12*10^-10 meters. Which atom has a l
Burka [1]
Nitrogen Radius = 5.8 x 10⁻¹¹ m

Beryllium Radius = 1.12 x 10⁻¹⁰ m

Let's find the quotient of N/Be :

(5.8x10⁻¹¹)/(1.12x10⁻¹⁰). But 10⁻¹¹/10⁻¹⁰ = 10⁽⁻¹¹⁺¹⁰⁾ = 10⁻¹ = 1/10 = 0.1

→ (5.8/1.12).(0.1) = 0.58/1.12 = 0.518.

Conclusion: the radius of Be is almost double than the radius of N
5 0
3 years ago
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