Question

simplify 4 (5 + 9√2) (3 - √7)​

Answer 1

Answer:

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Step-by-step explanation:

please branlist answer

Answer 2

Concept:

Product of irrational number is may or may not be irrational. If both the exponent is different then the product will be irrational again.

Given:

We have given the expression is $4(5+9\sqrt2)(3-\sqrt7)$

Find:

We are ask to simplify the given expression

Solution:

First apply the distribution of multiplication over the addition we have

$4(5\times3-5\times\sqrt(7)+9\times3\times\sqrt(2)-9\times\sqrt(2)\sqrt(7))$

$4(15-5\sqrt(7)+27\sqrt(2)-9\sqrt(14))$

$(60-20\sqrt(7)+108\sqrt(2)-36\sqrt(14))$

Hence the final answer is

$(60-20\sqrt(7)+108\sqrt(2)-36\sqrt(14))$