Question

EXERCISE - 1.4
1. Simplify the following expressions.
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Answer 1

Answer:

(i). 10 + 5√5 + 2√7 + √35 (ii). 20 (iii). 10 + 2√21 (iv). 4

Step-by-step explanation:

(a ± b)² = a² ± 2ab + b²

(a - b)(a + b) = a² - b²

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(i). (5 + √7)(2 + √5) = 10 + 5√5 + 2√7 + √35

(ii). (5 + √5)(5 - √5) = 5² - (√5)² = 25 - 5 = 20

(iii). (√3 + √7)² = (√3)² + 2(√3)(√7) + (√7)² = 10 + 2√21

(iv). (√11 - √7)(√11 + √7) = (√11)² - (√7)² = 4

Answer 2

Answer:

1. 10+5√5+2√7+√35
2. 20
3. 10+2√21
4. 4