How do you simplify this? √3+√13

3 Answers
Shiva Prakash M V
May 21, 2018

√3+√13=4√3

Explanation:

√3+√13

√3=3√3=

√13=1√3

√3+√13=3√3+1√3
=3+1√3=4√3
Thus,

√3+√13=4√3

EZ as pi
May 21, 2018

=43√3

Explanation:

You can write the square root of the fraction as separate roots:

√3+√13=√3+√1√3

√3+1√3 ← rationalise the denominator

=√3+1√3×√3√3

=√3+√33 ← factor out √3

=√3(1+13)

=43√3

Douglas K.
May 21, 2018

√3+√13 is not an equation and, therefore, cannot be solved but it can be rationalized.

Explanation:

√3+√13

Separate the second term into a radical over a radical:

√3+√1√3

Multiply the second term by 1 in the form of √3√3

√3+√1√3√3√3

Because of √3√3=3: the denominator becomes 3:

√3+√33

Multiply the first term by 1 in the form of 33:

3√33+√33

The two fractions can be combined over the common denominator:

3√3+√33

Add the terms in the numerator

4√33

The above is the rationalized and simplified form.

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