Mathematics: Simplify-3square root2+3square root 8

Simplify-3square root2+3square root 8 - id32384573116, bercishicicorbin

plzzhelp7931

15.01.2022

For this case we must simplify the following expression:

$3 \sqrt {2} +3 \sqrt {8}$

We rewrite:

$8 = 2 ^ 3 = 2 ^ 2 * 2\\3 \sqrt {2} +3 \sqrt {2 ^ 2 * 2} =$

For properties of potecnias and roots we have that:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

Then, rewriting the expression:

$3 \sqrt {2} + 2 * 3 \sqrt {2} =\\3 \sqrt {2} +6 \sqrt {2} =\\9 \sqrt {2}$

$9 \sqrt {2}$

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beav0919cnnowyfe2

13.12.2020

slope = $\frac{5}{3}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x - 3y = 18 ( subtract 5x from both sides )

- 3y = - 5x + 18 ( divide the terms by - 3 )

y = $\frac{5}{3}$ x - 6 ← in slope- intercept form

with slope m = $\frac{5}{3}$

Parallel lines have equal slopes , then

slope of line parallel to 5x - 3y = 18 is m = $\frac{5}{3}$

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