Question

Find and match the value of the following surds:

• A. 9
• B. 256
• C. 5

Answer 1

$(625{)}^{\frac{1}{4}}=(\sqrt[4]{45\times 5\times 5\times 5}{)}^1=(5{)}^1$
$=5$
$(27{)}^{\frac{2}{3}}=(\sqrt[3]{33\times 3\times 3}{)}^2=(3{)}^2=9$
$(64{)}^{\frac{4}{3}}=(\sqrt[3]{34\times 4\times 4}{)}^4=(4{)}^4=256$