Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Evaluate: √200 + √50 − 3√45 + √125.

Sagot :

olumideolawoyin

Answer:

15√2 - 4√5

Step-by-step explanation:

√200 + √50 − 3√45 + √125.

= √100×2 + √25×2 -3(√9×5)+ √25×5

= √100 × √2 + √25×√2 -3(√9×√5) + √25 × √5

= 10√2 + 5√2 -3×3 ×√5 + 5√5

= 10√2 + 5√2 - 9√5 + 5√5

= 15√2 - 4√5

Answer:

15√2 - 4√5

Step-by-step explanation:

Let's take a look at the square roots:

√200 = √100*2 = 10√2
√50 = √25*2 = 5√2

√45 = √9*5 = 3√5
√125 = √25*5 = 5√5

If we use those calculations in the given expressions:

√200 + √50 − 3√45 + √125 = 10√2 + 5√2 - 3*(3√5) +5√5
= 15√2 - 9√5 + 5√5 = 15√2 - 4√5

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.