All categories

2 years ago

Write this expression so that its denominator, if any, is a positive integer. 2/(3+sqrt(7))

Mathematics

1 answer:

Tanzania [10]2 years ago

7 0

Answer:

The Answer is 3 - sqrt7

Step-by-step explanation:

2/3 + sqrt7 the starting equation

You multiply it by the conjugate which is 3 - sqrt7

= 2(3 - sqrt7) / (3 + sqrt7) (3 - sqrt7) the equation after you multiply by 3 - sqrt7

(3 + sqrt7) (3 - sqrt7) = 2

= 2(3 - sqrt7) / 2 the equation after you simplify (3 + sqrt7) (3 - sqrt7)

Divide out the 2's

= 3 - sqrt7/1 the equation after you divide out the 2's

= 3 - sqrt7 is THE ANSWER

You might be interested in

Two old RSM students were standing 10 feet apart when they spotted Mrs. Rifkin. If

Yakvenalex [24]

Answer:

Step-by-step explanation:

Speed = Distance/time

Therefore time must = distance/speed

Since the two students are running apart from eachother, we can add their speeds together.

Also we can subtract 10 feet from our goal of 1870 since they're already 10 feet apart.

1860 feet/(150+1650) feet per minute

We can cancel out the feet since it's a common term.

And we're left with 6 minutes.

3 0

3 years ago

Read 2 more answers

Please help! I attached the question below.

kompoz [17]

Answer:

$\frac{2(c+2)}{c(c-2)}$

Step-by-step explanation:

$\frac{c^{2}-4 }{6c^{4}+15c^{3}}=\frac{(c-2)(c+2)}{c(6c^{3}+15c^{2}) }$

Identity used:

$a^{2}-b^{2}=(a-b)(a+b)$

$\frac{c^{2}-4c+4}{12c^{3}+30c^{2}}=\frac{(c-2)^{2}}{2(6c^{3}+15c^{2}) }$

Now let us divide the modified expressions:

$\frac{(c-2)(c+2)}{c(6c^{3}+15c^{2})}$ ÷ $\frac{(c-2)^2}{2(6c^{3}+15c^{2}) }$

we get:

$\frac{2(c+2)}{c(c-2)}$

5 0

3 years ago

If a is half b , and b is twice c , then a:c=

faust18 [17]

Answer: a/c = 1

a/b = 1/2 => a = 1/2 .b

b/c = 2 => c = 1/2 .b

=> a/c = (1/2.b)/(1/2.b) = 1

Step-by-step explanation:

4 0

3 years ago

If f(x) = x2 + 7, what is the value of f(3)?

Mazyrski [523]

Plug in 3 for f(x)
f(3)=(3)²+7
f(3)=9+7
f(3)=16
Hoped this helped!

3 0

3 years ago

Is this righ or not please say me

Ksju [112]

Answer:

Step-by-step explanation:

It's right

6 0

3 years ago

Read 2 more answers