Question

Simplify (3+√5)(3+√2)

Answer 1

When we simplify (3 + √5)(3 + √2), the result obtained is:

9 + 3√2 + 3√5 + √10

Surd operation

a√b × c√d = (a × c)√(b × d)

How to simplify (3 + √5)(3 + √2)

(3 + √5)(3 + √2)

Expand by clearing the bracket

3(3 + √2) + √5(3 + √2)

9 + 3√2 + 3√5 + √10

Thus,

(3 + √5)(3 + √2) = 9 + 3√2 + 3√5 + √10

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