All categories

3 years ago

Simplify-6√20+2√45+7√5 show Woking out to prove ans please

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

6 0

Answer:

$\sqrt{5}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplifying the radicals

$\sqrt{20}$ = $\sqrt{4(5)}$ = $\sqrt{4}$ × $\sqrt{5}$ = 2 $\sqrt{5}$

$\sqrt{45}$ = $\sqrt{9(5)}$ = $\sqrt{9}$ × $\sqrt{5}$ = 3 $\sqrt{5}$

Thus

- 6(2 $\sqrt{5}$ ) + 2(3 $\sqrt{5}$ ) + 7 $\sqrt{5}$

= - 12 $\sqrt{5}$ + 6 $\sqrt{5}$ + 7 $\sqrt{5}$

= $\sqrt{5}$

You might be interested in

You need to convert the recipe measure of 2 quarts to both pints and fluid ounces so you enlist the help

artcher [175]

Pints: 4

Ounces: 64

Im not sure if thats what you needed but hope this helps

4 0

3 years ago

If you bought a stock last year for a price of $36, and it has gone down 16.6% since then, how much is the stock worth now, to t

Pepsi [2]

Answer:

The stock is now worth of $30.024.

Step-by-step explanation:

Here, the price of the stock last year =$36

The percentage down in the price of stock in a year = 16.6 %

Now, 16.6% of the value of stock $36 = $\frac{16.6}{100} \times 36= 5.976$

⇒16.6% of $36 = $ 5.976

Now, the Current Worth of Stock = Stock Value last year - Decrease in the stock price

= $36 - $ 5.976 = $30.024

Hence, the stock is now worth of $30.024.

6 0

3 years ago

Algebra 2 will give points and brainly

aivan3 [116]

Answer:

Step-by-step explanation:

In the 3rd question, we are given the equation x ^ 3 + x ^ 2 + 2x + 24. One of the factors is x + 3. Now, we can use long division to find that the equation we have left is x^2 - 2x - 8. We can just factor this to get (x - 4) (x + 2). In the 3rd question, possible factors for the coefficient are 1, 2, -1, -2. Possible factors for the constant are 1, 7, -1, -7. Now, we can try out all of them. The possible factors are 1, 7, -1, -7, 2, 14, -2, -14.

7 0

3 years ago

Solve for x. (x÷2)+6=50 x = 22 x = 28 x = 38 x = 88

otez555 [7]

The answer is x = 88

4 0

3 years ago

Read 2 more answers

Write the number in the form a+bi square root of -64+2?

Igoryamba

Answer:

$\sqrt{-64}+2=2+8i$

Step-by-step explanation:

$i=\sqrt{-1}\\\\\sqrt{-64}=\sqrt{(64)(-1)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ for\ a\geq0\ and\ b\geq0\\\\=\sqrt{64}\cdot\sqrt{-1}=8\cdot i=8i\\\\\text{Therefore:}\\\\\sqrt{-64}+2=8i+2=2+8i$

5 0

3 years ago

Simplify-6√20+2√45+7√5 show Woking out to prove ans please​

Simplify-6√20+2√45+7√5 show Woking out to prove ans please