How do you solve 5sqrt 18 - sqrt 28 + sqrt 63 - sqrt 85√18−√28+√63−√8?

1 Answer
Shwetank Mauria
Jun 21, 2016

5sqrt18-sqrt28+sqrt63-sqrt8=13sqrt2+sqrt75√18−√28+√63−√8=13√2+√7

Explanation:

5sqrt18-sqrt28+sqrt63-sqrt85√18−√28+√63−√8

= 5sqrt(2xx3xx3)-sqrt(2xx2xx7)+sqrt(3xx3xx7)-sqrt(2xx2xx2)5√2×3×3−√2×2×7+√3×3×7−√2×2×2

= 5xx3xxsqrt2-2xxsqrt7+3xxsqrt7-2xxsqrt25×3×√2−2×√7+3×√7−2×√2

= 15sqrt2-2sqrt7+3sqrt7-2sqrt215√2−2√7+3√7−2√2

= 13sqrt2+sqrt713√2+√7

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