Question

Simplify 3 square root of 5 end root minus 2 square root of 7 end root plus the square root of 45 end root minus square root of 28

2 square root of 12
2 square root of 2
6 square root of 5 end root minus 4 square root of 7
6 square root of 10 end root minus 4 square root of 14

Answer 1

Answer:

6 square root of 5 end root minus 4 square root of 7

Step-by-step explanation:

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Comment on the answer form

In symbols, parentheses are preferred for grouping:

... 6√(5) -4√7

or

... 6(√5)-4√7

As with your "end root" the grouping symbols are only needed to resolve the ambiguity of what's under the radical.

Answer 2

6 square root of 5 end root minus 4 square root of 7

Explanation:

`3√(5)-2√(7)+√(45)-√(28)=3√(5)-2√(7)+√(3^2\cdot 5)-√(2^2\cdot 7)\\\\=(3+3)√(5)+(-2-2)√(7)=6√(5)-4√(7)`

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Comment on the answer form

In symbols, parentheses are preferred for grouping:

... 6√(5) -4√7

or

... 6(√5)-4√7

As with your "end root" the grouping symbols are only needed to resolve the ambiguity of what's under the radical.