Question

Nakim simplified 3 times the square root of 2x plus x times the square root of 8x minus 5 times the square root of 18x and got -10x times the square root of 2x for an answer.

Part 1: Using complete sentences, explain what Nakim did wrong.

Part 2: Show all your work to simplify the expression.

(You can use "sqrt()" to show a square root. For example, 7 times the square root of a can be written as 7sqrt(a). )

Answer 1

Please help me?

Answer 2

@satellite73

Answer 3

@myininaya

Answer 4

@ParthKohli

Answer 5

\[3(\sqrt{2x}) + x \sqrt{(8x - 5)}\]

is this the basic equation ?? m little confused..

Answer 6

wait.. i missed something, now i get it

Answer 7

no\[3\sqrt{2x}+x \sqrt{8x}-5\sqrt{18x}\]

Answer 8

\[ -10x \sqrt{2x}\]
He got this

Answer 9

\[3\sqrt{2x} + x \sqrt{8x} - 5\sqrt{18x} = -10x \sqrt{2x}\]

Answer 10

is that correct?

Answer 11

follow my steps.. i will explain you,
consider left equation..

1st term.. is fine

Answer 12

as is

Answer 13

now, consider 2nd term.. simplify it
\[x \sqrt{(2 * 2 * 2 ) x}\]
take 4 outside.. so sq rt of 4 = 2

so, what we get is \[2x \sqrt{2x}\]

Answer 14

now take the third term, and solve similarly..
\[5 \sqrt{18x} = 5\sqrt{(3 * 3* 2) x} = 5 * 3 \sqrt{2x} = 15 \sqrt{2x}\]

Answer 15

now put them back together and solve..

\[3\sqrt{2x} + 2x \sqrt{2x} - 15\sqrt{2x} = (3 -15) \sqrt{2x} + 2x \sqrt{2x}

= -12\sqrt{2x} + 2x \sqrt{2x}\].. is the answer

his mistake was he added the above two terms..

Answer 16

sorry, i went on too lengthy.. hope u understood this..

Answer 17

No, thank you so very much!!

Answer 18

no mention.. just make sure u understand that....

2 different terms cannot be added together.. like 2 and 2x .. as we saw above...