$\sqrt{8x^7y^8}=\sqrt8\cdot\sqrt{x^7}\cdot\sqrt{y^8}=\sqrt{4\cdot2}\cdot\sqrt{x^6\cdot x}\cdot\sqrt{y^{4\cdot2}}\\\\=\sqrt4\cdot\sqrt2\cdot\sqrt{x^6}\cdot\sqrt{x}\cdot\sqrt{(y^4)^2}=2\sqrt2\cdot\sqrt{x^{3\cdot2}}\cdot\sqrt{x}\cdot y^4\\\\=2y^4\sqrt2\cdot\sqrt{(x^3)^2}\cdot\sqrt{x}=2y^4\sqrt{2x}\cdot x^3\\\\=\boxed{2x^3y^4\sqrt{2x}}$

$Used:\\\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\\sqrt{a^2}=a\ for\ a\geq0$

7 0

4 years ago

Four integers are consecutive terms of an arithmetic sequence. The sum of these four numbers is 24 and the product is 945.

Paraphin [41]

9514 1404 393

Answer:

Step-by-step explanation:

The prime factorization of 945 is ...

945 = 3³·5·7

suggesting the numbers are 3, 5, 7, 9. These have a sum of 24.

The largest of the integers is 9.

6 0

3 years ago

15.What must be subtracted from x 3 + 3x-8 to 2x 3 +x 2 -4x+2

Alik [6]

Answer:

Step-by-step explanation:

2 x 3−3 x 2+ x −30=0 ... The groups have no common factor and can not be added up to form a multiplication. Polynomial Roots Calculator : 3.3 Find roots (zeroes) of : F(x) = 2x3-3x2+x-30 ... Subtract 5 from both side of the equation : ... abc. a. x. y. /. |abs|. ( ). 7. 8. 9. *. 4. 5. 6. -. %. 1. 2. 3. +. <. > 0. , . = abc. a. b. c. d. e.

8 0

3 years ago