3 years ago

Which expressions are equivalent to 4d+6+2d?

Mathematics

1 answer:

netineya [11]3 years ago

3 0

Answer:

6d + 6 or 6(d + 1)

Step-by-step explanation:

4d + 6 + 2d

Collect like terms

4d + 2d + 6

= 6d + 6

It can also be written as

6(d + 1) by factorisation

6d + 6 or 6(d + 1)

I hope this was helpful, please rate as brainliest

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Rationalize the denominator of 4/14 root 2?

Katarina [22]

First of all, you can simplify the 4 at the numerator and the 14 at the denominator (they're both multiple of 2):

$\dfrac{4}{14\sqrt{2}} = \dfrac{2\cdot 2}{2\cdot 7\cdot\sqrt{2}} = \dfrac{2}{7\sqrt{2}}$

Now, rationalize a denominator means that you have to get rid of the square root, in order to have an integer denominator.

To do so, remember that you can always multiply any number by 1 without changing its value, and you can always think of 1 as a fraction where numerator and denominator are equal:

$\dfrac{2}{7\sqrt{2}} = \dfrac{2}{7\sqrt{2}}\cdot 1 = \dfrac{2}{7\sqrt{2}} \cdot \dfrac{\sqrt{2}}{\sqrt{2}} = \dfrac{2\sqrt{2}}{7\cdot 2} = \dfrac{\sqrt{2}}{7}$