What is (sqrt(21))/(sqrt(10)-3) ?

The solution to (sqrt(21))/(sqrt(10)-3) is sqrt(210)+3sqrt(21)

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simplify (sqrt(21))/(sqrt(10)-3)

simplify

\frac{21}{10 - 3}

210 + 321

Decimal Notation

28.23910 \dots

Solution steps

\frac{21}{10 - 3}

Multiply by the conjugate

\frac{10 + 3}{10 + 3}

= \frac{21 ( 10 + 3 )}{( 10 - 3 ) ( 10 + 3 )}

Expand

21 (10 + 3) : 210 + 321

Expand

(10 - 3) (10 + 3) : 1

= \frac{210 + 3 21}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 210 + 321

4.5 (y + 7.2)

4 x^{5} - 8 x^{4} + 3 x^{3}

2 x + x (x + 6)

\frac{2}{( - \frac{5}{x} ) ^{2} - 3}

(2 r^{3} s) 2 (s r^{3}) 3

What is (sqrt(21))/(sqrt(10)-3) ?
The solution to (sqrt(21))/(sqrt(10)-3) is sqrt(210)+3sqrt(21)