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The product is 10√14 +8√21 +30√3 +36√2

Step-by-step explanation:

Given the question as;

( 2√7 +3√6)(5√2+4√3)

Distribute

2√7(5√2+4√3) + 3√6 (5√2+4√3)

open brackets

2√7 × 5√2 + 2√7 × 4√3 + 3√6×5√2+3√6×4√3

2×5×√7×√2 + 2×4×√7×√3+3×5×√6×√2 + 3×4×√6×√3

10×√14 +8√21+15√12+12√18-----------------------------simplify √12 and √18 further

10√14+  8√21 + 15×√4×√3 + 12×√9×√2

10√14 +8√21 +15×2×√3 + 12×3×√2

10√14 +8√21 +30√3 +36√2

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Surds operation : https://brainly.com/question/13658479

Keyword : Product

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