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3 years ago

Simplify the expression 2√ 20 − 3√ 7 − 2√ 5 + 4√ 63 .

Mathematics

1 answer:

Kisachek [45]3 years ago

3 0

Simplify √20 to 2√5

2 * 2√5 - 3√7 - 2√5 + 4√63

Simplify √63 to 3√7

2 * 2√5 - 3√7 - 2√5 + 4 * 3√7

Simplify 2 * 2√5 to 4√5

4√5 - 3√7 - 2√5 + 4 * 3√7

Simplify 4 * 3 √7 to 12√7

Collect like terms

(4√5 - 2√5) + (-3√7 + 12√7)

Simplify

2√5 + 9√7

Answer: B

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. In the equation√n+5

Yuki888 [10]

Answer:

n = 59

Step-by-step explanation:

The given equation of n is $\sqrt{n + 5} - \sqrt{n - 10} = 1$ and we have to solve it for n.

$\sqrt{n + 5} - \sqrt{n - 10} = 1$ ........... (1)

⇒ $\frac{(n + 5) - (n - 10)}{\sqrt{n + 5} + \sqrt{n - 10}} = 1$

{Rationalizing the numerator}

⇒ $\sqrt{n + 5} + \sqrt{n - 10} = 15$ .............. (2)

Now, adding (1) and (2) we get

$2\sqrt{n + 5} = 16$

⇒ n + 5 = 64 {Squaring both sides}

⇒ n = 59 (Answer)

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3 years ago

Lcm of 10, 20 and 110

mart [117]

Answer:

220

Step-by-step explanation:

110 cannot be the lcm for 20 but 10 and 110

so 220 can be the lcm for 20, 10, and 110

hope this helps

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3 years ago

Simplify 2^3 x 2^18

dybincka [34]

Answer:

2^21

Step-by-step explanation:

3+18=21

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2 years ago

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madam [21]

Answer:

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Step-by-step explanation:

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Fittoniya [83]

Answer:

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Step-by-step explanation:

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