Find the value of \(\frac{\sqrt{264} \times \sqrt{330} \times \sqrt{1125}}{\sqrt{1296} \times \sqrt{400}}\).
\(\frac{55}{4}\)
Combine the roots in the numerator: \(\sqrt{264 \times 330 \times 1125} = \sqrt{98010000} = 9900\).
The denominator is \(\sqrt{1296} \times \sqrt{400} = 36 \times 20 = 720\).
\(\frac{9900}{720} = \frac{55}{4}\).
Hence, the answer is \(\frac{55}{4}\).
Similar Questions
If \(4^{x+1} = 64 \times 8^{x}\), find the value of \(x\).
If 1060.02 = x, 1060.59 = y and xz = y9 are given, then find the value of z.
Given that 940.8 = x, 940.03 = y and xz = y2, then the value of z is:
Given that \(69^{0.96} = x\), \(69^{0.75} = y\) and \(x^{z} = y^{2}\), then the value of \(z\) is close to:
Given that 1160.26 = x, 1160.1 = y and xz = y4, then the value of z is close to:
Given that \(109^{0.64} = x\), \(109^{0.83} = y\) and \(x^{z} = y^{5}\), then the value of \(z\) is close to:
Simplify the following:
\(\left(\frac{3^{4}\times 3^{-2}}{3^{-1}}\right)^{2}\div 3^{5}\)
Given that 520.21 = x, 520.18 = y and xz = y10, then the value of z is close to:
What is the value of x if
\(\sqrt{\sqrt{x+3}}=2\)
Given that 240.64 = x, 240.05 = y and xz = y3, then the value of z is close to:
Important Questions from Surds and Indices
The cube root of - 64 × - 1331 is:
If (27) m = (81) n, then m 2: mn = ?
if 49 n + 49 n + 49 n + 49 n + 49 n + 49 n + 49 n = 7 2221 , then n = ?
If a x= b y= c zand b 2= ac then y =
The value of (0.3) [{(200 - 146)/(3 × 3 × 3)} - 3] is:
