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Simplify by combining like terms:
5sqrt8 + 2sqrt18

2006-12-02 05:35:21 · 8 answers · asked by badmf777 1 in Science & Mathematics Mathematics

8 answers

5sqrt8 + 2sqrt18 =
5*8^¹/2 + 2*18^¹/2 =
5*[(4*2)^¹/2] + 2*[(9*2)^¹/2] =
5*[(4^¹/2)*(2^¹/2)] + 2*[(9^¹/2)*(2^¹/2)] =
5*[2*(2^¹/2)] + 2*[3*(2^¹/2)] =
5*2*(2^¹/2) + 2*3*(2^¹/2) =
10*(2^¹/2) + 6*(2^¹/2) =

= 16*(2^¹/2)

2006-12-02 05:47:16 · answer #1 · answered by Luiz S 7 · 0 0

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2016-11-23 12:47:51 · answer #2 · answered by fette 4 · 0 0

You have to treat sqrt(2) as a variable.

In the above case, it becomes
10 sqrt(2) + 6 sqrt(2) = 16 sqrt(2)

The same way that

10x + 6x = 16x

Since sqrt(2) is in its simplest form while staying exact, you're not allowed to touch it, but you can combine it as a like term.

2006-12-02 05:40:15 · answer #3 · answered by Puggy 7 · 0 0

5√(8) + 2√(18)
= 5(√4)(√2) + 2(√9)(√2)
= (5)(2)(√2) + (2)(3)(√2)
= 10√2 + 6√2
If you make √2 into x...
= 10x + 6x --- And you probably know that this...
= 16x

Therefore...
= 10√2 + 6√2
= 16√2

Hope that helped!

2006-12-02 06:04:44 · answer #4 · answered by Anonymous · 0 0

5sqrt8 + 2sqrt18
5* sqrt4 *sqrt 2 +2 * sqrt9 *sqrt2
=5*2*sqrt2 +2*3*sqrt2
= 10 sqrt2 +6sqrt2 = 16sqrt2

As shown, you multiply.

2006-12-02 05:45:38 · answer #5 · answered by ironduke8159 7 · 0 0

5sqrt(8) + 2sqrt(18)

Minute detail follows:

5sqrt(4*2) + 2sqrt(9*2)
5sqrt(4)sqrt(2) + 2sqrt(9)sqrt(2)
5*2sqrt(2) + 2*3sqrt(2)
10sqrt(2) + 6sqrt(2)
16sqrt(2)

2006-12-02 05:42:22 · answer #6 · answered by Anonymous · 0 0

5sq.rt8=10sq.rt2
2sq.rt.18=6sq.rt2
so adding
it is 16sq.rt.2

2006-12-02 05:44:09 · answer #7 · answered by raj 7 · 0 0

multiply i already told you

2006-12-02 05:42:41 · answer #8 · answered by m0rph0s1s 2 · 0 1

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