Question

add:[2/3√7-1/2√2+6√11] &[1/3√7+3/2√2-7√11

Answer 1

Simplify (square root of 7+square root of 5)/(square root of 7-square root of 5)

√7+√5√7−√57+57-5

Multiply √7+√5√7−√57+57-5 by √7+√5√7+√57+57+5.

√7+√5√7−√5√7+√5√7+√57+57-57+57+5

Combine fractions.


(√7+√5)(√7+√5)2(7+5)(7+5)2

Simplify the numerator

(√7+√5)22(7+5)22

Rewrite (√7+√5)2(7+5)2 as (√7+√5)(√7+√5)(7+5)(7+5).

(√7+√5)(√7+√5)2(7+5)(7+5)2

Expand (√7+√5)(√7+√5)(7+5)(7+5) using the FOIL Method.


√7√7+√7√5+√5√7+√5√5277+75+57+552

Simplify and combine like term

12+2√35212+2352

Reduce the expression by cancelling the common factors

6+√356+35

The result can be shown in both exact and decimal forms.

Exact Form:

6+√356+35

Decimal Form: