Question

25.18 - 10:18
Exercise 1.5
Simplify the following (1 to 5)
1.78:1-2) +34)
, 11-1 0-13-5684 - DU
5.140 of 2-3 + 4)-95-3)
2.9-4.****
4)-12-26
$- 11 - ( - 6 - (3 - 5(8 \div 4 - 1)))$
​

Answer 1

Answer:

Simplify each of the following expressions:

(i) (3+√3)(2+√2)

Answer: Given, (3+√3)(2+√2)

=3x2+2√3+3√2+√3x√2

=6+2√3+3√2+√6

(ii) (3+√3)(3−√3)

Asnwer:Given, (3+√3)(3−√3)

= (Since, (a+b)(a–b)

=a2–b2

Hence, we get

32–(√3)2

=9–3

=6

(iii) (√5+√2)2

Answer: Given (√5+√2)2

Since, (a+b)2

=a2+b2+2ab

Hence, we have;

(√5)2+(√2)2+2×√5×√2

=5+2+2√10

=7+2√10

(iv) (√5−√2)(√5+√2)

Answer: Given, (√5−√2)(√5+√2)

Since, (a+b)(a–b)

=a2–b2

Hence, we have;

(√5)2–(√2)2

=5–2

=3

Step-by-step explanation:

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