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3 years ago

Simplify the following surd expressions

Mathematics

2 answers:

olasank [31]3 years ago

6 0

Answer:

<h2>see the answers ⤵️</h2>

Step-by-step explanation:

<h3>to understand the solving steps you need to know about</h3>

algebra
PEMDAS
redical

<h3>adding or subtracting with redical experience is nothing but algebraic addition or subtraction</h3><h3>let's solve:</h3>

$a)7 \sqrt{3} - 2 \sqrt{3} + \sqrt{3} - 3\sqrt{3} \\ 8 \sqrt{3} - 5 \sqrt{3} \\ 3 \sqrt{3}$

$b)5 \sqrt{7} + 4 \sqrt{7} - 8 \sqrt{7} \\ 9 \sqrt{7} - 8 \sqrt{7} \\ \sqrt{7}$

laiz [17]3 years ago

3 0

Answer:

a) 3√3
b) √7

Step-by-step explanation:

7√3 -2√3 + √3 - 3√3 =
√3(7 - 2 + 1 - 3) =
√3*3 =
3√3

5√7 + 4√7 - 8√7 =
√7(5 + 4 - 8) =
√7*1 =
√7

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faltersainse [42]

Answer:

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Step-by-step explanation:

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2 years ago

Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 b

jeka94

Answer:

Step-by-step explanation:

From the given information; Let's assume that R should represent the set of all possible outcomes generated from a bit string of length 10 .

So; as each place is fitted with either 0 or 1

$\mathbf{|R|= 2^{10}}$

Similarly; the event E signifies the randomly generated bit string of length 10 does not contain a 0

Now;

if a 0 bit and a 1 bit are equally likely

The probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 bit and a 1 bit are equally likely is;

$\mathbf{P(E) = \dfrac{|E|}{|R|}}$

so ; if bits string should not contain a 0 and all other places should be occupied by 1; Then:

$\mathbf{{|E|}=1 }$ ; $\mathbf{|R|= 2^{10}}$

$\mathbf{P(E) = \dfrac{1}{2^{10}}}$

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3 years ago