All categories

3 years ago

Simplify fully WITHOUT using a calculator (3√2 -12)(2√2+1)

Mathematics

2 answers:

natita [175]3 years ago

6 0

Answer:

$33\sqrt{2} +12$

Step-by-step explanation:

$(3\sqrt{2} - 12)(2\sqrt{2} + 1)$

$6\sqrt{2} + 3\sqrt{2} -12(2\sqrt{2})+12$

$9\sqrt{2}+24\sqrt{2}+12$

$33\sqrt{2} +12$

xenn [34]3 years ago

6 0

Answer:

$21\sqrt{2$

Step-by-step explanation:

You might be interested in

Which expression is equivalent to RootIndex 3 StartRoot StartFraction 75 a Superscript 7 Baseline b Superscript 4 Baseline Over

slega [8]

Answer:

B. $\frac{b}{2a^{2}c^3}\sqrt[3]{15b}$

Step-by-step explanation:

Given:

The expression to simplify is given as:

$\sqrt[3]{\frac{75a^7b^4}{40a^{13}c^9}}$

Use the exponent property $\frac{a^m}{a^n}=a^{m-n}$

$\frac{a^7}{a^{13}}=a^{7-13}=a^{-6}$

Use the exponent property $(a^m)^n=a^{m\times n}$

$a^{-6}=a^{-2\times 3}=(a^{-2})^3$

$b^4=b\times b^3\\c^{9}=(c^3)^3$

Reducing $\frac{75}{40}$ to simplest form, we get:

$\frac{5\times 5\times 3}{2^3\times 5}=\frac{15}{2^3}$

Therefore, expression becomes:

$\sqrt[3]{\frac{15(a^{-2})^3\times b\times b^3}{2^3(c^3)^3}}$

Use the cubic root property:

$\sqrt[3]{x^3} =x$ . Thus, the expression becomes:

$\frac{a^{-2}b}{2c^3}\sqrt[3]{15b}$

Using the exponent property $a^{-m}=\frac{1}{a^m}$

$a^{-2}=\frac{1}{a^2}$

So, the final expression is:

$\frac{b}{2a^{2}c^3}\sqrt[3]{15b}$

Therefore, the correct option is option B.

7 0

4 years ago

The probability of picking a quarter from a jar of coins is 0.125. If Cindy has 280 coins in the jar, how many quarters are in t

shusha [124]

Answer:

Step-by-step explanation:

8 0

3 years ago

What is the answer to 10324 divided by 12 show the work

musickatia [10]

10324 ÷ 12 = 860.3333

8 0

3 years ago

a rectangular tank is 3/4 filled with water, when the metal prism is placed in the tank, it is 79/100 full. find the width w of

barxatty [35]

Answer:

no inglish :"<

sorry pero espero y alguien te responda bien pronto

7 0

3 years ago

On average, a server is tipped 95 cents for each customer served. If 18 customers are served, how much money, in dollars, should

OlgaM077 [116]

Answer:

it would be 17.10 because .95 x 18 is 17.1 and 17.1 and 17.10 are the same

Step-by-step explanation:

5 0

3 years ago

Simplify fully WITHOUT using a calculator (3√2 -12)(2√2+1)​

Simplify fully WITHOUT using a calculator (3√2 -12)(2√2+1)