Mai's younger brother tells her that 10/7 is equal to square root of 2. Mai knows this can't be right,

Mathematics

1 answer:

Kryger [21]3 years ago

3 0

Answer:

10/7 is a simple fraction, and √2 cannot be written as a simple fraction. So, they are not the same.

Step-by-step explanation:

10/7 is a number that has a numerator and a denominator.

Suppose √2 = 10/7, then √2 can also be written as a number that has a numerator and a denominator.

Since this is not the case, 10/7 cannot be the same as √2.

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Read 2 more answers

How do I solve

Maslowich

$Use:\\\\(ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\\\a^n\cdot a^m=a^{n+m}\\\\\sqrt[n]{a}=a^\frac{1}{n}\\------------------------\\\\\left(16n^4\right)^{\frac{5}{4}}=16^\frac{5}{4}\left(n^4\right)^\frac{5}{4}=16^{1\frac{1}{4}}n^{4\cdot\frac{5}{4}}=16^{1+\frac{1}{4}}n^5=16^1\cdot16^\frac{1}{4}\cdot n^5\\\\=16\cdot\sqrt[4]{16}\cdot n^5=16\cdot2\cdot n^5=\boxed{32n^5}\\\\\sqrt[4]{16}=2\ because\ 2^4=16\\\\\text{Answer}\ \boxed{\left(16n^4\right)^\frac{5}{4}=32n^5}$

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