Simplify the following surd expression 9√3 - 4√3 + √5 + 2√5

5√3+3√5

Step-by-step explanation:

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We are given the surd expression:

If surds are same, we can combine them.

And we are done!

Wait, but if you do not get it, don't worry, I've got you!

So let's say that these surds are merging number, if two have same surds, they can combine with each others.

Story (Math Purpose / Learning)

9: Hey, 4! What surds do you have?

4: I have √3, what about you?

9: Same! I have √3 too!

4: That's great! We can now form a new value!

9 and 4 then fused and became new value, which was 5√3, came from 9-4 = 5 and them having surd of √3.

Meanwhile, with 5 and 1

2: 1, why are you invisible?

1: I thought no one could see me?!

2: I assume that we have same surds. Maybe this power of same surd allows me to see and fuse with you.

1: sighs Okay, let's fuse!

2 and 1 then fused and became a new value which was 3√5, came from 2+1 and them having surd of √5.

456567546657689765432567890-9876543567890-987657890

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15