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2 years ago

\sqrt{27} - \sqrt{ 12} + \sqrt{48 }

Mathematics

1 answer:

cestrela7 [59]2 years ago

6 0

Answer:

$5\sqrt{3}$

Step-by-step explanation:

I'm assuming you're asking for most simplified form?

Original Equation:

$\sqrt{27} - \sqrt{12} + \sqrt{48}$

Rewrite sqrt(27) using the exponent property: $\sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}$

$\sqrt{9} * \sqrt{3} -\sqrt{12} + \sqrt{48}$

Simplify sqrt(9)

$3\sqrt{3} -\sqrt{12} + \sqrt{48}$

Rewrite the radical sqrt(12)

$3\sqrt{3} -\sqrt{4}\sqrt{3} + \sqrt{48}$

Simplify sqrt(2)

$3 \sqrt{3} -2\sqrt{3} + \sqrt{48}$

Rewrite the radical sqrt(48)

$3\sqrt{3} -2\sqrt{3} + \sqrt{16}\sqrt{3}$

Simplify the sqrt(16)

$3\sqrt{3} -2\sqrt{3} + 4\sqrt{3}$

You can think of sqrt(3) as x, in which case you have 3x - 2x + 4x, so you just add the coefficients and leave the sqrt(3) alone.

Subtract 2 from 3

$1\sqrt{3} + 4\sqrt{3}$

Add 1 and 4

$5\sqrt{3}$

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for the given license plate configuration, determine how many different plates are possinle if letters and digits (a) can ba rep

Inessa05 [86]

Answer:

a) 1,757,600 different plates possible.

b) 1,404,000 different plates possible.

Step-by-step explanation:

The permutations formula is important to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

(a) can be repeated:

There are 3 letters, each one with 26 possible outcomes.

2 digits, each with 10 possible outcomes

T = 26*26*26*10*10 = 1757600

1,757,600 different plates possible.

(b) cannot be repeated:

Here the permutations formula is used.

Three letters, from a set of 26.

Two digits, from a set of 10. So

$T = P_{(26,3)}*P_{(10,2)} = \frac{26!}{(26-3)!}*\frac{10!}{(10-2)!} = 1404000$

1,404,000 different plates possible.

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3 years ago

Which equation matches the graph of the absolute value function seen here?

nignag [31]

use a calculator instead of asking

7 0

3 years ago

WILL GIVE BRAINLESS<br> what is the missing number of 4:9=36:

lora16 [44]

Answer:

Step-by-step explanation:

4 : 9

36 : ?

to get from 4 to 36, you multiply 9

9 x 9 = 81

7 0

3 years ago

??? times 4/9 is negative 8

Nitella [24]

-2/9 x 4/9 is -8
so the answer is -2/9

5 0

3 years ago

Read 2 more answers

Adam is refinishing his basement. 30 ft by 50 ft are the dimensions of Adam's rectangular basement. How much tile would he need

miv72 [106K]

Answer:

Area of four walls is 3960 square feet.

Step-by-step explanation:

length, L = 30 ft

Width, W = 50 ft

height, H = 6 ft

The area of walls is

= 2 (L W + W H + H L)

= 2 (30 x 50 + 50 x 6 + 6 x 30)

= 2 (1500 + 300 + 180)

= 3960 square feet

4 0

3 years ago