Question

(5 + √7) (2 + √5) PLEASE SOMEONE EXPLAIN THE ANSWER STEP BY STEP​

Answer 1

Required Solution:

→ ( 5 + √7 ) ( 2 + √5 )

By using distributive property,

→ 5 (2 + √5) + √7 (2 + √5)

→ 5(2) + 5(√5) + √7(2) + √7(√5)

→ 10 + 5√5 + 2√7 + √35

Therefore, ( 5 + √7 ) ( 2 + √5 ) is equal to 10 + 5√5 + 2√7 + √35.

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$\star$ More !

Some identities related to square roots : -

• (√a)² = a

• √a√b = √ab

• √a/√b = √a/b

• (√a + √b)(√a - √b) = a - b

• (a + √b)(a - √b) = a² - b

• (√a ± √b)² = a ± 2√ab + b

• (√a + √b)(√c + √d) = √ac + √ad + √bc + √bd