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Umnica [9.8K]
4 years ago
8

What is the following profuct? ( sqrt 14 - sqrt 3) ( sqrt 12 + sqrt 7)

Mathematics
2 answers:
lara [203]4 years ago
7 0

Answer:2\sqrt{42}+7\sqrt{2}-6-\sqrt{21}

Step-by-step explanation:

Given

\left ( \sqrt{14}-\sqrt{3}\right )\left ( \sqrt{12}-\sqrt{7}\right )

using distributive property

\sqrt{14\times 12}+\sqrt{14\times 7}-\sqrt{3\times 12}-\sqrt{3\times 7}

\sqrt{4\times 2\times 3\times 7}-\sqrt{7\times 7\times 2}-\sqrt{36}-\sqrt{3\times 7}

2\sqrt{42}+7\sqrt{2}-6-\sqrt{21}

GalinKa [24]4 years ago
3 0
Using the distributive law:-

this =  sqrt 14 sqrt 12 + sqrt 14 sqrt 7  - sqrt 3 sqrt 12 - sqrt 3 sqrt 7

= sqrt1 68 + sqrt 91 - sqrt 36 - sqrt 21

= sqrt 168 + sqrt 91 - sqrt21 - 6


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