Simplify: 2sqrt{8}sqrt{18}

Tazmin Horton

Tazmin Horton

Answered question

2021-03-08

Simplify: 2818

Answer & Explanation

Sadie Eaton

Sadie Eaton

Skilled2021-03-09Added 104 answers

Firstly, remember that we can combine square roots. I.e. 818 is the same thing as 8×18.
Now let's factor that 8 and 18. The 8 can be factored as 8=2×2×2 and the 18 as 18=2×3×3
Thus 2818=28×18=22×2×2×2×3×3
Now remember that every pair of the same number can be pulled out from under the square root. For example, 2×2=2. With this in mind,22×2×2×2×3×3=2×2×2×3=24
And we're done!

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