- The exact value for the expression x + 6 = ± 3√2 is x = –6 ± 3√2
- The smaller value is –10.24
- The larger value is  –1.76
Data obtained from the question
- Simplified value =?
- Smaller value =?
- Larger value =?
How to simplify the expression
x + 6 = ± 3√2
Subtract 6 from both side
x + 6 – 6 = ±3√2 – 6
x = ±3√2 – 6
Rearrange
x = –6 ± 3√2
How to determine the smaller and larger value
x = –6 ± 3√2
x = –6 ± √(3 × 3 × 2)
x = –6 ± √18
x = –6 – √18
x = –6 – 4.24
x = –10.24 = smaller value
x = –6 + √18
x = –6 + 4.24
x = –1.76 = larger value
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