Question

Fill in the boxes using the rules of surds:
please help the picture is the man question
4 root 6 + 10 root 6

Answer 1

Answer:

Given below

Step-by-step explanation:

Let's start,

1) (√3) × 2 = 2√3

2) (2√3) × √8

= (2√3) × (√(2 × 2 × 2))

= (2√3) × √(2² × 2)

= (2√3) × 2√2

= 2 × 2 × √3 × √2

= 4 × √(3 × 2)

= 4√6

3) 4√6 + 10√6

Taking √6 common

= (4 + 10)√6

= (14)√6

= 14√6

4) 14√6 ÷ √3

= 14√(3 × 2) ÷ √3

= (14 × √3 × √2) ÷ √3

Cancelling the common factor √3

= 14√2

5) 14√2 × √2

= 14 × (√2) × (√2)

= 14 × 2

= 28

6) 28 + 3

= 31

7) 31 × √5

= 31√5

8) (31√5) × (3√5)

= 31 × (√5) × 3 × (√5)

= 31 × 3 × (√5) × (√5)

= 93 × 5

= 465

9) 465 ÷ 5

= 93

Hope it helped you and believing you understood it...All the best