Mathematics, 05.12.2019 10:31 chloeann4688

$\sqrt{5} \times \sqrt[4]{5}$

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Answer from: summerarellanoo

" 3.344 " .

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Step-by-step explanation:

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Note: √5 = $5^{(1/2)}$ .

→ {Since: $\sqrt{5} = \sqrt[2]{(5^1)} = \sqrt[2]{5}$ } ;

and note the following property of "roots" :

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→ $\sqrt[n]{x^y} = x^{(y/n)}$ '

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$\sqrt[4]{5} = 5^{(1/4)}$ .

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→ $\sqrt{5} * \sqrt[4]{5}$ ;

= $5^{(1/2)}$ * 5^{(1/4) ;

= $5^{[(1/2) +(1/4)]}$ ;

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Note: Refer to the following property of exponents:

→ xᵃ * xᵇ = x⁽ᵃ ⁺ ᵇ⁾

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Now, (1/2) + (1/4) = ? ;

Note: (1/2) = (?/4) ?? ;

→ Look at the "denominators" ;

2 * ? = 4 ? '

→ 4 ÷ 2 = ? ;

→ 4 ÷ 2 = 2 .

→ So: 2 * 2 = 4; ;

→ Now, look at the "numerators" ;

1 * 2 = 2 ;

So, (1/2) = (2/4) ;

→ (1/2) + (1/4) = (2/4) + (1/4) = (2 + 1) / 4 = 3/4 .

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So: $5^{[(1/2) +(1/4)]}$ ;

= $5^{3/4)]}$ ;

= 3.34370152488 ; (using calculator) ;

→ round to: " 3.344 ".

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Answer from: Quest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

Answer from: Quest

It took off from 11 degrees

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[tex] \sqrt{5} \times \sqrt[4]{5} [/tex]...