arianahale arianahale
  • 02-04-2021
  • Mathematics
contestada

Simplify.
Remove all perfect squares from inside the square root.
[tex]\sqrt{63}[/tex]

Respuesta :

LittleAngel36
LittleAngel36 LittleAngel36
  • 02-04-2021

Answer:

[tex]3 \sqrt{7} [/tex]

Step-by-step explanation:

1) Rewrite 63 as its prime factors.

[tex] \sqrt{3 \times 3 \times 7} [/tex]

2) Group the same prime factors into pairs.

[tex] \sqrt{(3 \times 3) \times 7} [/tex]

3) Rewrite each pair in exponent form.

[tex] \sqrt{ {3}^{2} \times 7 } [/tex]

3) Use this rule

[tex] \sqrt{ {x}^{2} } = x[/tex]

[tex]3 \sqrt{7} [/tex]

Answer Link

Otras preguntas

Solve for x. - 3x + 8y = 5 6x - 2y =10
Which sentence contains figurative language? 1.The Florida flowers were shy children who ducked their heads. 2.Vermont maple trees produce large amounts of syru
what are some short term effects of earthquakes?
Simplify the polynomial.1. 4a²b + 5 - 6a³b - 3a²b + 2a³b
What is 7/10 - 1/4 (fraction)
What is 7/10 - 1/4 (fraction)
Simplify the polynomial.1. 4a²b + 5 - 6a³b - 3a²b + 2a³b
Use two examples to describe how insensitivity by the British toward Hindu and Muslim religious traditions caused the Sepoy Rebellion.
Which of the following was probably not a stock phrase in eighteenth-century poetry? a) verdant mead b) checkered shade c) simian rivalry d) shining sword e) bo
What is 7/10 - 1/4 (fraction)