8√45+2√500-√125find simplyfy
Answers
Answer:
Follow i n s t a g r a m = niral161
Step-by-step explanation:
→ Mark as brainliest answer.
→ 8√45 + 2√500 - √125
→ Now we have to just take the values of roots.
→ √45 = 6.7
→ √500 = 22.3
→ √125 = 11.1
→ Now put the value.
→ 8√45 + 2√500 - √125
→ 8(6.7) + 2(22.3) - 11.1
→ 53.6 + 44.6 - 11.1
→ 98.2 - 11.1
→ 87.1
Answer: 8√45+2√500-√125 = 39√5
Explanation:
To simplify:
- 8√45+2√500-√125
Proof:
Prime Factorisation of 45 :
3 | 45
3 | 15
5 | 5
| 1
⇒ 45 = 3× 3 ×5 = 3² × 5
Prime Factorisation of 500:
2 | 500
2 | 250
5 | 125
5 | 25
5 | 5
| 1
⇒ 500 = 2× 2× 5 × 5 × 5 = 2² × 5² × 5
Prime Factorisation of 125:
5 | 125
5 | 25
5 | 5
| 1
⇒ 125= 5 × 5 ×5 = 5² × 5
Putting the values of 45, 500 and 125 in 8√45+2√500-√125, we get:
= 8√45+2√500-√125
= 8√ ( 3²× 5 ) + 2 √ (2² × 5² × 5) - √ (5² × 5 )
= (8 × 3)√5 + (2 × 2 × 5)√5 - 5√5
= 24√5 + 20√5 - 5√5
= √5 ( 24 + 20 - 5)
= √5 ( 44-5)
= √5 (39)
= 39√5
Hope you got my explanation.
Thank you.