Question

(2sqrt(5)+3sqrt(7)^2

I know the answer is 21+2 sqrt(5)

Whats the work i need to do to get there?

Answer 1

@AloneS

Answer 2

Hold on.

Answer 3

:3

Answer 4

ok :)

Answer 5

@LunyMoony

Answer 6

Solution
1 Rationalize the denominator: 3√7+5√√(7+5√√7+5√√)=3√7+5√√7+5√37+5(7+57+5)=37+57+5
3√7+5√−−−−−−√7+5√
37+57+5

2 Rationalize the denominator: 3√7+5√√7+5√(7−5√7−5√)37+57+5(7−57−5)
3√7+5√−−−−−−√(7−5√)72−5√2
37+5(7−5)72−52

3 Simplify 7272 to 4949
3√7+5√−−−−−−√(7−5√)49−5√2
37+5(7−5)49−52

4 Apply this rule: x√2=xx2=x
3√7+5√−−−−−−√(7−5√)49−5
37+5(7−5)49−5

5 Simplify 49−549−5 to 4444
3√7+5√−−−−−−√(7−5√)44

Answer 7

This is cool, an online site that does square root problems
http://www.cymath.com/answer.php?q=(sqrt(3))%2F(sqrt(7%2Bsqrt(5)))