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What is the following product?

StartRoot 12 EndRoot times StartRoot 18 EndRoot
StartRoot 30 EndRoot
5 StartRoot 6 EndRoot
6 StartRoot 5 EndRoot
6 StartRoot 6 EndRoot

Respuesta :

angstar4
/12 x /18
/4x3 x /9x2
2/3 x 3/2
2x3/3x2
6 root 6

I checked with my calculator :)

The solution to the multiplication of surds (2√3) × (3√2) is; 6√6

  • We want to find; √12 × √18

Let us break each of them into the factors to get;

√12 × √18 = √(4 × 3) × √(9 × 2)

  • Now,this can be expressed as;

(√4 × √3) × (√9 × √2)

Simplifying this further gives;

(2√3) × (3√2)

  • Now, in surds, we know that;

a√b × p√q = ap√bq

  • Applying the surd rule above to our question gives;

(2√3) × (3√2) = 6√6

Read more about multiplication of surds at; https://brainly.com/question/24700530

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