Create and solve two problems involving addition, subtraction, multiplication and division of radicals .

The two problems combined should contain all four operations.

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
11 months ago

Problem 1:

Solve the expression:

โˆš(25) + โˆš(9) - โˆš(4) ร— โˆš(16) รท โˆš(81)

Solution:
โˆš(25) + โˆš(9) - โˆš(4) ร— โˆš(16) รท โˆš(81)
= 5 + 3 - 2 ร— 4 รท 9
= 5 + 3 - 8/9
= 8 - 8/9
= 72/9 - 8/9
= 64/9
= 7 1/9

Problem 2:
Solve the expression:

โˆš(16) ร— (โˆš(25) + โˆš(9)) - โˆš(81) รท โˆš(4)

Solution:
โˆš(16) ร— (โˆš(25) + โˆš(9)) - โˆš(81) รท โˆš(4)
= 4 ร— (5 + 3) - 9 รท 2
= 4 ร— 8 - 9 รท 2
= 32 - 9 รท 2
= 32 - 4.5
= 27.5