poppy1226
poppy1226 poppy1226
  • 21-01-2021
  • Mathematics
contestada

what is the simplified form of 3√135?​

Respuesta :

Milanifaye
Milanifaye Milanifaye
  • 21-01-2021

Answer:

1) expand the radical by seperating it according to its factors;

[tex]3\sqrt{135}[/tex]

[tex]3\sqrt{27*5}[/tex]

3[tex]\sqrt{9*3*5}[/tex]

SINCE 9 is a PERFECT SQUARE WE CAN TAKE IT OUTSIDE THE RADICAL, BUT WE MUST TAKE THE SQUARE ROOT OF IT BEFORE WE CAN TAKE IT OUT OF THE RADICAL:

sqrt9=3

so

3*3[tex]\sqrt{3*5}[/tex]

9[tex]\sqrt{15}[/tex]

Answer Link

Otras preguntas

which of these correctly matches an organelle with its function -chloroplast—movement - nucleus—cell regulation -vacuole—energy production - mitochondrion—phot
There are 638 students at a museum. All the students will tour the museum in groups of up to 6 students. What is the smallest number of tour groups that can b
Contrast inference and prediction.
which types of laws does judasim uphold?
Using an example, explain how small atoms are.
Please help? Simplify:
Why do particles in gases and liquids diffuse, but not solids?
Why is the name "Ship-Trap Island" in the short story "The Most Dangerous Game" ironic?
give 3 reasons why places along the equator are warmer than those closer to the poles. thx :]
By increasing the speed of her car  by 5 km/h, Alice was able to drive 12 km in 0.2 hours.  What was her original speed?