simplify: 6sqrt7-sqrt7
A. 6 sqrt7
B. 5 sqrt 7
C. 5
D. 6
Simplify: 2sqrt12+ sqrt3
A.5sqrt3
B. 3sqrt3
C. 2sqrt15
D. 3sqrt15
Need help on these please
1) B .. Because since they're both sqrt7 base, you can just subtract them.
2) A .. You have to simplify sqrt12 to sqrt4 times sqrt3, so you will get 2(2)(sqrt3) + sqrt3 .. which will turn into 4sqrt3 + sqrt3. Since they're the same base again, it will be 5sqrt3.
thank you for your help :)
To simplify expressions with square roots, you can combine like terms.
For the first expression, 6sqrt7 - sqrt7, notice that both terms have the same square root of 7. You can combine these terms by subtracting the coefficients in front of the square roots, which gives you:
6sqrt7 - sqrt7 = (6 - 1)sqrt7 = 5sqrt7
So, the simplified form of 6sqrt7 - sqrt7 is 5sqrt7.
The correct answer is B. 5 sqrt 7.
For the second expression, 2sqrt12 + sqrt3, you can simplify it by simplifying the square roots. Recall that the square root of a product is equal to the product of the square roots of the individual factors.
√12 can be simplified by breaking it down into its prime factors: 12 = 2 * 2 * 3. Taking the square root of each individual factor gives you √(2 * 2 * 3) = 2√3.
Using this information, you can rewrite the expression as follows:
2sqrt12 + sqrt3 = 2(2√3) + √3 = 4√3 + √3 = 5√3
So, the simplified form of 2sqrt12 + sqrt3 is 5√3.
The correct answer is A. 5sqrt3.