Simplify the following equations

asked Feb 8, 2021 208k views

1 vote

5.9k points

Please log in or register to add a comment.

3 votes

Step-by-step explanation:

Given the expressions

$\sqrt[5]{16} * \sqrt[5]{2} \\= 16^(1/5) * 2^(1/5)\\= 2^(4(1/5)) * 2^(1/5)\\= 2^(4/5) * 2^(1/5)\\= 2^(4/5+1/5)\\= 2 ^(5/5)\\= 2^1\\= 2\\\\$

$\frac{\sqrt[4]{243}}{\sqrt[4]{3}} \\= (243^(1/4))/(3^(1/4))\\= (3^(5/4))/(3^(1/4))\\=3^(5/4-1/4)\\= 3^(4/4)\\= 3$

$(3+√(2) )(4+√(7) )\\= 3(4) + 3√(7) + 4√(2) + √(14) \\= 12 + 3√(7) + 4√(2) + √(14) \\$

Yeh answered Feb 14, 2021

by Yeh

6.1k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

6.5m questions

8.7m answers