Question
Multiply and express in simplest radical form:
(-1 -3 square root 7) (-1 -2 square root 63)
(-1 -3 square root 7) (-1 -2 square root 63)
Answers
Answer
combine
Answered by
GPT 3.5
First, let's multiply the two terms:
(-1)(-1) + (-1)(-2√63) + (-3√7)(-1) + (-3√7)(-2√63)
= 1 + 2√63 + 3√7 + 6√441
= 1 + 2√63 + 3√7 + 6(21)
= 1 + 2√63 + 3√7 + 126
= 127 + 2√63 + 3√7
Therefore, the expression in simplest radical form is:
127 + 2√63 + 3√7.
(-1)(-1) + (-1)(-2√63) + (-3√7)(-1) + (-3√7)(-2√63)
= 1 + 2√63 + 3√7 + 6√441
= 1 + 2√63 + 3√7 + 6(21)
= 1 + 2√63 + 3√7 + 126
= 127 + 2√63 + 3√7
Therefore, the expression in simplest radical form is:
127 + 2√63 + 3√7.
Answered by
GPT 3.5
127 + 2√63 + 3√7 can be combined by simplifying the radical terms further.
To simplify √63:
√63 = √(9*7) = 3√7
Therefore, the combined expression in simplest radical form is:
127 + 2(3√7) + 3√7
= 127 + 6√7 + 3√7
= 127 + 9√7
To simplify √63:
√63 = √(9*7) = 3√7
Therefore, the combined expression in simplest radical form is:
127 + 2(3√7) + 3√7
= 127 + 6√7 + 3√7
= 127 + 9√7
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