How do you simplify #sqrt735/sqrt5#?

Answer 1

#sqrt735/sqrt5=7sqrt3#

#sqrt735/sqrt5#
= #sqrt(3xx5xx7xx7)/sqrt5#
= #sqrt((3xx5xx7xx7)/5)#
= #sqrt((3xxcancel5xx7xx7)/cancel5)#
= #sqrt(3xxul(7xx7))#
= #7sqrt3#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

#7sqrt(3)#

#color(blue)("Method")#

We need to look for integer factors of 735 and with a bit of luck be able to cancel out the #sqrt(5)# denominator.

Suppose we had 2 unknown variables #a" and "b#. Suppose these 2 variables were presented in the form of

#sqrt(a)/sqrt(b)# This we can write as #sqrt(a/b)#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Answering your question")#

Notice that the sum of the digits in 735 is 15. As 15 is divisible by 3 then 735 is also divisible by 3

From the factor tree we observe that 735 is the product of #3xx5xx7^2#

Write #sqrt(735)/sqrt(5)# as #sqrt((3xxcancel(5)xx7^2)/cancel(5))#

We can take the #7^2# outside the square root but it becomes just #7# giving:

#7sqrt(3)#

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 3

To simplify ( \frac{\sqrt{735}}{\sqrt{5}} ), multiply the numerator and denominator by ( \sqrt{5} ) to rationalize the denominator:

[ \frac{\sqrt{735} \times \sqrt{5}}{\sqrt{5} \times \sqrt{5}} ]

This simplifies to:

[ \frac{\sqrt{3675}}{5} ]

[ \frac{\sqrt{5 \times 735}}{5} ]

[ \frac{\sqrt{5} \times \sqrt{735}}{5} ]

Therefore, ( \frac{\sqrt{735}}{\sqrt{5}} ) simplifies to ( \frac{\sqrt{5 \times 735}}{5} ), or ( \frac{\sqrt{3675}}{5} ).

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7